Introduction

Airbnb is one of the most popular online community marketplace for people ('hosts) to list properties, book experiences and discover places. Hosts are reponsible for setting prices for the listings. It is hard for newcomers to set an accurate price to compete with other experience hosts.

As one of the most popular cities in Europe, London has over 80,000 listings as of May 2019. In such fierce competition environments, it is important to know which factors driving the price of listings. In this post, we will perform data analysis to extract useful insights about rental landscape in London. And applying machine learning models to predict the price for listings in London.

Dataset

Inside Airbnb has provided data that is sourced from public available infomration from Airbnb webiste. The data we used for this project is compiled on 05 May, 2019. The dataset comprised of three tables and a geojson file of London boroughs:

  • listings - Deatailed listings data for London
  • calendar - Deatailed bookings for the next calendar year of listings
  • reviews - Detailed reviews data for listings in London.
  • neigbourhoods - geojson file of boroughs of London.

Imports

Import libraries and write settings here.

In [196]:
# Data manipulation
import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
from matplotlib import dates
import seaborn as sns
import folium
from pprint import pprint
import datetime


from sklearn.feature_extraction.text import CountVectorizer
from sklearn.model_selection import train_test_split, RandomizedSearchCV
from sklearn.ensemble import RandomForestRegressor
from sklearn.metrics import mean_squared_error, r2_score

from catboost import CatBoostRegressor

# Options for pandas
pd.options.display.max_columns = 50
pd.options.display.max_rows = 100

sns.set()

# Graphics in SVG format are more sharp and legible
%config InlineBackend.figure_format = 'svg' 
%matplotlib inline
# Display all cell outputs
from IPython.core.interactiveshell import InteractiveShell
InteractiveShell.ast_node_interactivity = 'all'

from IPython import get_ipython
ipython = get_ipython()

Analysis/Modeling

Review data

In [265]:
df_reviews = pd.read_csv('data/reviews.csv.gz', low_memory=False)
In [266]:
df_reviews['datnum'] = dates.datestr2num(df_reviews['date'])
In [267]:
num_reviews = df_reviews.groupby(['datnum'])['listing_id'].count()
num_reviews_df = num_reviews.to_frame().reset_index()
In [274]:
num_reviews_2017 = num_reviews_df[(num_reviews_df.datnum >= 736330) &
                                  (num_reviews_df.datnum <= 736695)]
In [283]:
num_reviews_2018 = num_reviews_df[(num_reviews_df.datnum >= 736695) &
                                  (num_reviews_df.datnum <= 737060)]

How is the demand for Airbnb changing in London?

  • There is no available data on the number of bookings over the years. Instead we estimate the demand by looking at the number of reviews across years. According to Inside Airbnb, around 50% of the guests leave reviews to listings, so the number of reviews is a good estimator of the demand.
  • The "Number of reviews across years" graph shows an upward trend of the number of reviews. It also shows seasonal pattern with some months has reviews less than the others. The other two graphs show monthly reviews in 2017 and 2018. Both graphs show deamand peaked at around August and slowly decreasing until the end of the year.
In [272]:
@plt.FuncFormatter
def fake_month(x, pos):
    """ Custom formater to turn floats into Month"""
    return dates.num2date(x).strftime("%B")

@plt.FuncFormatter
def fake_year(x, pos):
    """ Custom formater to turn floats into Year"""
    return dates.num2date(x).strftime("%Y")

def review_plot(data, major_format, filename, xlabel, title, xlim=None, figsize=(8,5)):
    """Plot the number of reviews for listings and save the figure
    
    Argument:
    =========
        data: pandas dataframe
        major_format: func object, formattor function
        filename: str, to save the graph
        xlabel: str
        title: str
        xlim: the x-axis ticks limits
    """

    fig, ax = plt.subplots(figsize=(8, 5))
    sns.regplot(x='datnum', y='listing_id', data=data, ax=ax, lowess=True,
            scatter_kws={"color": "#43a2ca", "alpha": 0.4},
            line_kws={"color": "red"})
    ax.set_xlim(xlim)
    ax.xaxis.set_major_formatter(major_format)
    ax.set_title(title)
    ax.set_xlabel(xlabel)
    ax.set_ylabel('Number of reviews for unqiue listings')
    fig.tight_layout()

    reviews_plot.figure.savefig(filename, dpi=800);
In [273]:
review_plot(num_reviews_2017, fake_month, 'review_2017', 'Month', 
            'Number of reviews in 2017', xlim=(736330, 736695))
In [284]:
review_plot(num_reviews_2018, fake_month, 'review_2018', 'Month', 
            'Number of reviews in 2018', xlim=(736695, 737060))
In [264]:
review_plot(num_reviews_df, fake_year, 'total_reviews', 'Year', 
            'Number of reviews across years')
In [ ]:
 

Calendar data

In [130]:
df_calendar = pd.read_csv('data/calendar.csv.gz', low_memory=False)
In [131]:
print(f"There are {df_calendar.listing_id.nunique()} of unique listings")
There are 80767 of unique listings
In [132]:
df_calendar.info()
<class 'pandas.core.frame.DataFrame'>
RangeIndex: 29480811 entries, 0 to 29480810
Data columns (total 7 columns):
listing_id        int64
date              object
available         object
price             object
adjusted_price    object
minimum_nights    float64
maximum_nights    float64
dtypes: float64(2), int64(1), object(4)
memory usage: 1.5+ GB
In [133]:
def clean_df(df):
    """Remove the dollar sign in front of price and adjusted_price, Convert the categorical varaible into binary variable,
       and turn date to datetime object.

       inputs:
           df: A pandas dataframe object
       returns:
           df: A cleaned version of dataframe
    """
    df1 = df.copy()
    
    df1['price'] = df1['price'].str.replace(',', '')
    df1['price'] = df1['price'].str.replace('$', '').astype(float)
    
    df1['adjusted_price'] = df1['adjusted_price'].str.replace(',', '')
    df1['adjusted_price'] = df1['adjusted_price'].str.replace('$', '').astype(float)
    
    
    df1['bookings'] = df1['available'].map(lambda x: 0 if x == 't' else 1)
    
    df1['date'] = pd.to_datetime(df1['date'])
    
    return df1
    
In [134]:
cleaned_calendar = clean_df(df_calendar)
In [135]:
num_bookings = cleaned_calendar.groupby(['listing_id']).bookings.count()
num_bookings[num_bookings > 365].head()
Out[135]:
listing_id
41712     366
83308     366
98541     366
127652    366
139142    366
Name: bookings, dtype: int64
In [136]:
cleaned_calendar = cleaned_calendar[cleaned_calendar.date != '2020-05-05']
In [137]:
avg_booked_rate = cleaned_calendar.groupby('date')['bookings'].mean()
In [138]:
avg_booked_rate.tail()
Out[138]:
date
2020-04-30    0.711603
2020-05-01    0.711107
2020-05-02    0.710934
2020-05-03    0.710154
2020-05-04    0.691769
Name: bookings, dtype: float64
In [139]:
fig, ax = plt.subplots(figsize=(10,4))
lineplot = sns.lineplot(color='b',
             ax=ax,
             data = avg_booked_rate)
ax.set_title('London Airbnb Calendar')
ax.set_ylabel('Occupancy Rate')

lineplot.figure.savefig('calendar.png', dpi=800);
In [253]:
cleaned_calendar['month'] = cleaned_calendar['date'].dt.strftime('%B')
In [286]:
monthly_price = cleaned_calendar.groupby(['date'], sort=False)['price'].mean()
monthly_price_df = monthly_price.to_frame().reset_index()
monthly_price_df['month'] = monthly_price_df['date'].dt.strftime('%B')
#monthly_price_df['day'] = monthly_price_df['date'].dt.strftime('%A')
In [287]:
monthly_price_df = monthly_price_df[monthly_price_df.price > 105]
In [288]:
monthly_price_df.info()
<class 'pandas.core.frame.DataFrame'>
Int64Index: 365 entries, 0 to 364
Data columns (total 3 columns):
date     365 non-null datetime64[ns]
price    365 non-null float64
month    365 non-null object
dtypes: datetime64[ns](1), float64(1), object(1)
memory usage: 11.4+ KB

Which month is more expensive to travel on?

  • The average prices tends to increases along the year except for May which is signifactly lower than the other months. In comparsion to the 'Number of reviews' plots in previous sections, the pattern is similar except for May and December.
  • December is more expensive compared to the other months. This may be because december is the holiday season and people are more likely to travel. May is the cheapest month to make a booking in Airbnb, maybe because it's closer to exam period.
In [290]:
fig, ax = plt.subplots(figsize=(12, 7))
monthly_boxplot = sns.boxplot(monthly_price_df.price, monthly_price_df.month)
ax.set_xlabel('Average Price', fontsize=12)
ax.set_ylabel('Month', fontsize=12)
ax.set_title('Boxplots of Average Price by Month', fontsize=16);

Listings Data

In [2]:
df_listings = pd.read_csv('data/listings.csv.gz', low_memory=False)
In [3]:
print(f'There are {df_listings.shape[0]} number of listings in London as of {df_listings.last_scraped.max()}')
There are 80767 number of listings in London as of 2019-05-07
In [4]:
df_listings.isna().mean().sort_values(ascending=False)[:60]
Out[4]:
jurisdiction_names              1.000000
neighbourhood_group_cleansed    1.000000
xl_picture_url                  1.000000
host_acceptance_rate            1.000000
medium_url                      1.000000
thumbnail_url                   1.000000
license                         0.997920
square_feet                     0.994503
monthly_price                   0.931643
weekly_price                    0.903946
notes                           0.609791
access                          0.436701
interaction                     0.425260
house_rules                     0.416160
host_about                      0.416098
neighborhood_overview           0.371761
transit                         0.371600
security_deposit                0.353857
host_response_rate              0.314510
host_response_time              0.314510
space                           0.308567
review_scores_checkin           0.276895
review_scores_location          0.276895
review_scores_value             0.276895
review_scores_accuracy          0.276190
review_scores_communication     0.276177
review_scores_cleanliness       0.276041
review_scores_rating            0.275533
cleaning_fee                    0.262582
first_review                    0.254720
last_review                     0.254720
reviews_per_month               0.254720
host_neighbourhood              0.240284
state                           0.213553
summary                         0.044696
zipcode                         0.024168
description                     0.020404
market                          0.010896
host_location                   0.003293
bathrooms                       0.001832
city                            0.001733
beds                            0.001659
host_picture_url                0.000607
host_identity_verified          0.000607
host_has_profile_pic            0.000607
host_total_listings_count       0.000607
host_listings_count             0.000607
host_since                      0.000607
host_thumbnail_url              0.000607
host_is_superhost               0.000607
host_name                       0.000607
bedrooms                        0.000458
name                            0.000334
neighbourhood                   0.000012
scrape_id                       0.000000
last_scraped                    0.000000
experiences_offered             0.000000
host_verifications              0.000000
picture_url                     0.000000
street                          0.000000
dtype: float64

EDA and Feature Selection

  • Clearly, we have to drop columns that have over 90% of missing values. This include jurisdiction_names, neighbourhood_group_cleansed, xl_picture_url, host_acceptance_rate, medium_url, thumbnail_url, license, square_feet, monthly_price and weekly_price.
  • listing_url, scrape_id, last_scraped, calendar_updated, host_since can also be dropped because it does not contribute to price prediction.
  • is_location_exact , host_neighbourhood, street, neighbourhood, city, state, zipcode, market, smart_location, country_code country, latitude and longitude will also be dropped. Most of these infomrations are overlapped. We only retain the neighbourhood_cleansed column which contains the borough of each listings.
  • In this project, we are not using NLP to predict price, so text columns such as name, summary, space, description, host_verifications, house_rules can be dropped.
  • first_reviews and last_reviews will also be dropped because not many people look at the time of the reviews. People are more concerned with the number of reviews when they looking for listings.
  • number_of_reviews is highly correlated with number_of_reviews_ltm and reviews_per_month and thus can be dropped. *
In [5]:
def annotated_heatmap(df, col, figsize=(11, 15)):
    """Return annotated heatmap of specific columns

       Arguments
       =========
       col - a list of quantative columns
    """
    corr = df[col].corr()
    # mask to hide upper triangle
    mask = np.zeros_like(corr, dtype=np.bool)
    mask[np.triu_indices_from(mask)] = True

    f, ax = plt.subplots(figsize=figsize)

    heatmap = sns.heatmap(corr,
                          mask=mask,
                          square=True,
                          linewidths=.5,
                          cmap='coolwarm',
                          cbar_kws={'shrink': .5,
                                    'ticks': [-1, -.5, 0, 0.5, 1]},
                          vmin=-1,
                          vmax=1,
                          annot=True,
                          annot_kws={'size': 10})
    # add the column names as labels
    ax.set_yticklabels(corr.columns, rotation=0)
    ax.set_xticklabels(corr.columns)
    sns.set_style({'xtick.bottom': True}, {'ytick.left': True})


def plot_categorical(df, x, filename, hue=None, palette='Set1', figsize=(10, 4)):
    """
    Function that plot categorical column

    Argument
    =======
    df: pandas dataframe
    x: str. horizontal axis to plot the categorical column, y would be the count
    filename: str
    hue: seaborn hue argument. Grouping variable that will produce bars with different colors.
    palette: array, color of the plot
    figsize: the size of the figure


    Returns
    =======
    A count plot for categorical column
    """
    fig, ax = plt.subplots(figsize=figsize)
    countplot = sns.countplot(x=x, hue=hue, data=df, palette=palette)
    ax.set_title(f'Count plot for {x}')
    ax.grid(False)

    countplot.figure.savefig(f'{filename}.png', dpi=800)
In [6]:
df_listings = df_listings.drop(['jurisdiction_names', 'neighbourhood_group_cleansed', 'xl_picture_url', 'host_acceptance_rate',
                               'medium_url', 'thumbnail_url', 'license', 'square_feet', 'monthly_price', 'weekly_price',
                               'listing_url', 'scrape_id', 'last_scraped', 'calendar_updated', 'house_rules'], axis=1)
In [7]:
df_listings = df_listings.drop(['name', 'summary', 'space', 'description', 'neighborhood_overview', 'notes', 'transit', 'access', 'interaction',
                                'picture_url', 'host_id', 'host_url', 'host_name', 'host_location', 'host_about', 'host_thumbnail_url', 'host_picture_url',
                                'host_neighbourhood', 'city', 'street', 'neighbourhood', 'state', 'zipcode', 'market', 'smart_location', 'country_code', 'country',
                                'longitude', 'latitude', 'calendar_last_scraped', 'host_verifications', 'is_location_exact', 'host_since', 'first_review',
                                'last_review', 'bed_type', 'number_of_reviews_ltm', 'reviews_per_month'], axis=1)
  • Minimum nights is highly correlated with minimum_minimum_nights, maximum_minum_nights and minimum_nights_avg_ntm. Likewise, Maximum nights is highly correlated with minimum_maximum_nights, maximum_maximum_nights and maximum_nights_avg_ntm. Thus we can keep only the minimum_nights and maximum_nights columns

  • host_listings_count is highly correlated with host_total_listings_count, calculated_host_listings_count, and calculated_host_listings_count_entire_homes. so we only need to keep host_listings_count.

In [8]:
filtered_col = ['minimum_nights', 'maximum_nights',
              'minimum_minimum_nights', 'maximum_minimum_nights',
              'minimum_maximum_nights', 'maximum_maximum_nights',
              'minimum_nights_avg_ntm', 'maximum_nights_avg_ntm',
              'host_listings_count', 'host_total_listings_count',
              'calculated_host_listings_count', 'calculated_host_listings_count_entire_homes', 
              'bedrooms', 'beds', 'bathrooms', 'calculated_host_listings_count_private_rooms',
              'calculated_host_listings_count_shared_rooms',
              ]
annotated_heatmap(df_listings, filtered_col, (15, 15))
In [9]:
df_listings = df_listings.drop(['minimum_minimum_nights', 'maximum_minimum_nights',
                                'minimum_maximum_nights', 'maximum_maximum_nights',
                                'minimum_nights_avg_ntm', 'maximum_nights_avg_ntm',
                                'host_total_listings_count', 'calculated_host_listings_count',
                                'calculated_host_listings_count_entire_homes', 'beds',
                                'calculated_host_listings_count_private_rooms',
                                'calculated_host_listings_count_shared_rooms'], axis=1)

Has Availability

  • The has availability column has contain only one category, thus it is reducdant and can be dropped.
  • availability_30, availability_60, availability_90 and availability_365 are highly correlated and thus we only need to keep one column. Moreover, Airbnb impose a 90-day renting limit to all listings across London. So availability_90 is kept in this case
In [10]:
df_listings['has_availability'].value_counts()
Out[10]:
t    80767
Name: has_availability, dtype: int64
In [11]:
availability_col = ['availability_30', 'availability_60', 'availability_90', 'availability_365' ]
annotated_heatmap(df_listings, availability_col, figsize=(8, 8))
In [12]:
df_listings = df_listings.drop(['has_availability', 'availability_30', 'availability_60', 'availability_365'], axis=1)

Experience offered

  • Most of the listings have no experience offered and thus can be dropped
In [13]:
c_palette = ['tab:blue', 'tab:orange']
plot_categorical(df_listings, x='experiences_offered', filename='experience_count', palette=c_palette, figsize=(8,4))
In [14]:
df_listings = df_listings.drop(['experiences_offered'], axis=1)
  • About a third of the listings have nan value which means these listings have not yet be reviewed. 65% of the listings response within a day. This is good enough for most people. Moreover, host_response_rate is pretty similar to host_response_time and people often look at host_response_rate when they consider to make the bookings. Thus, this measure can be dropped.

  • About 31.5% of listings have not yet provided host_reponse_rate. It may not be appropiate to remove these listings or filling them with median or mean. We instead turing this column into discrete chunks to be used as ordinal categorical variables.

  • There are 49 rows lacking values for host_is_superhost, host_identity_verified, host_has_profile_pic, host_listings_count features. It is misleading to fill the missing value for these columns and it only accounts for small proportion of listings thus it will be dropped.

In [15]:
df_listings.host_response_time.fillna("unknown", inplace=True)
df_listings.host_response_time.value_counts(normalize=True)
Out[15]:
within an hour        0.422834
unknown               0.314510
within a few hours    0.138831
within a day          0.100821
a few days or more    0.023004
Name: host_response_time, dtype: float64
In [16]:
df_listings = df_listings.drop(['host_response_time'], axis=1)
In [17]:
print(f"The proportion of nan values in host_response rate column is around "
      f"{round(df_listings.host_response_rate.isna().sum() / len(df_listings) * 100, 1)}%")
The proportion of nan values in host_response rate column is around 31.5%
In [18]:
def bin_column(df, col, bins, labels, na_label='unknown'):
    """
    Takes a column, and segment continuous data into discrete bins with group of 
    labels and fill the na value of the column according to na_label
    
    Argument
    ========
    df: pandas dataframe
    col: str, column of dataframe
    bins: int, the criteria to bin by
    labels: arrays, specify labels for the returned bins
    na_label: values to replace missing values in col
    
    Returns
    """
    
    if df[col].dtype == 'O':
        df[col] = df[col].str[:-1].astype('float64')
        
    df[col] = pd.cut(df[col], bins=bins, labels=labels, include_lowest=True)
    df[col] = df[col].astype('str')
    df[col].replace('nan', 'unknown', inplace=True)
    df[col].fillna(na_label, inplace=True)
    

def clean_listings(df):
    """
    Remove the dollar size in the price col, fill nan value with 0 for price col
    and median for room_col, and drop rows for host_col

    Argument
    ========
    df: pandas dataframe

    Returns
    Cleaned dataframe

    """

    price_col = ['price', 'security_deposit', 'cleaning_fee', 'extra_people']
    room_col = ['bathrooms', 'bedrooms']
    host_col = ['host_is_superhost', 'host_identity_verified',
                'host_has_profile_pic', 'host_listings_count']

    df1 = df.copy()

    df1[price_col] = df1[price_col].apply(lambda x: x.str[1:], axis=0)
    df1[price_col] = df1[price_col].apply(
        lambda x: x.str.replace(",", '')).astype('float64')
    df1[price_col] = df1[price_col].fillna(value=0)

    df1[room_col] = df1[room_col].fillna(df1[room_col].median())
    df1.dropna(subset=host_col, inplace=True)

    return df1
In [19]:
df_listings[['host_is_superhost', 'host_identity_verified',
    'host_has_profile_pic', 'host_listings_count']].isna().sum()
Out[19]:
host_is_superhost         49
host_identity_verified    49
host_has_profile_pic      49
host_listings_count       49
dtype: int64
In [20]:
bin_column(df_listings, 'host_response_rate',
          bins=[0, 50, 75, 90, 100], 
          labels=['0-49%', '50-74%',
                  '75-89%', '90-100%'],
          )
In [21]:
df_listings = clean_listings(df_listings)
In [22]:
plot_categorical(df_listings, 'host_response_rate', 'host_response.png', hue=None, palette='Set1', figsize=(10,4))

Location

In [23]:
df_listings.neighbourhood_cleansed.value_counts()
Out[23]:
Westminster               9059
Tower Hamlets             7749
Hackney                   5947
Kensington and Chelsea    5719
Camden                    5683
Islington                 4948
Southwark                 4746
Lambeth                   4670
Wandsworth                4082
Hammersmith and Fulham    4039
Brent                     2370
Lewisham                  2246
Haringey                  2073
Newham                    1887
Ealing                    1599
Greenwich                 1590
Barnet                    1532
Merton                    1326
Waltham Forest            1324
Richmond upon Thames      1147
Croydon                   1067
Hounslow                   998
Bromley                    650
Redbridge                  646
Enfield                    587
Hillingdon                 586
Kingston upon Thames       526
Harrow                     451
City of London             436
Barking and Dagenham       315
Sutton                     259
Bexley                     242
Havering                   219
Name: neighbourhood_cleansed, dtype: int64
In [24]:
def london_map(geo_data, df, col, key_on, legend, marker=True):
    
    """
    Return an Interactive choropleth map of London boroughs with some of the top london attractions mark on the map
    
    Argument
    ========
    geo_data: geojson coordinate data
    df: pandas dataframe of London borough data
    col: the columns of data to be bound.
    key_on: Variable in the geo_data GeoJSON file to bind the data to.
    legend: str, Title for data legend.
    Returns
    ========
    folium map object

    """

    m = folium.Map(location=[51.4982, -0.1215], zoom_start=11.5)

    folium.Choropleth(
        geo_data=geo_data,
        name='choropleth',
        data= df,
        columns=col,
        key_on=key_on,
        fill_color='BuPu',
        fill_opacity=0.6,
        line_opacity=0.3,
        legend_name=legend,
    ).add_to(m)

    folium.LayerControl().add_to(m)
    if marker:
        folium.Marker([51.50777, -0.08771], popup='London Bridge').add_to(m)
        folium.Marker([51.50067, -0.12459], popup='Big Ben').add_to(m)
        folium.Marker([51.50331, -0.11965], popup='London Eye').add_to(m)
        folium.Marker([51.4993, -0.12731], popup='Westminster Abbey').add_to(m)
        folium.Marker([51.50019, -0.14237], popup='Buckingham Palace').add_to(m)
        folium.Marker([51.50441, -0.08647], popup='The Shard').add_to(m)
    
    return m
In [25]:
borough_geo = 'data/neighbourhoods.geojson'
borough_df = pd.DataFrame(df_listings.groupby('neighbourhood_cleansed')['review_scores_rating'].mean())
borough_df.rename(columns={0: 'review_scores_rating'}, inplace=True)
borough_df['median_price'] = df_listings.groupby('neighbourhood_cleansed').price.median()
borough_df = borough_df.reset_index()
In [293]:
borough_df.sort_values(by='median_price', ascending=False)
Out[293]:
neighbourhood_cleansed review_scores_rating median_price
19 Kensington and Chelsea 91.764254 145.0
6 City of London 91.142857 143.0
32 Westminster 90.704166 130.0
5 Camden 91.874067 100.0
18 Islington 93.112554 90.0
12 Hammersmith and Fulham 92.715480 90.0
26 Richmond upon Thames 95.203242 89.0
31 Wandsworth 94.494277 84.0
27 Southwark 93.090658 79.0
11 Hackney 94.324152 72.0
21 Lambeth 94.011255 70.0
29 Tower Hamlets 91.320561 70.0
23 Merton 94.773148 65.0
17 Hounslow 93.889381 60.0
10 Greenwich 93.724409 60.0
3 Brent 92.479477 59.0
24 Newham 92.396472 55.0
1 Barnet 94.041372 55.0
8 Ealing 93.531842 55.0
20 Kingston upon Thames 94.778976 54.0
30 Waltham Forest 93.821888 50.0
13 Haringey 94.520464 50.0
9 Enfield 93.679045 50.0
22 Lewisham 93.967254 50.0
4 Bromley 92.275463 50.0
16 Hillingdon 92.985037 49.0
14 Harrow 91.901024 48.0
15 Havering 95.007407 46.0
25 Redbridge 93.201439 45.0
28 Sutton 94.623596 45.0
7 Croydon 93.332851 45.0
2 Bexley 90.141892 40.0
0 Barking and Dagenham 91.826590 40.0
In [294]:
borough_df.sort_values(by='review_scores_rating', ascending=False).head(5)
Out[294]:
neighbourhood_cleansed review_scores_rating median_price
26 Richmond upon Thames 95.203242 89.0
15 Havering 95.007407 46.0
20 Kingston upon Thames 94.778976 54.0
23 Merton 94.773148 65.0
28 Sutton 94.623596 45.0

Whcih boroughs are more expensive, and which areas have the best reviews?

  • It is not surprised that Kensington and Chelsea borough is the most expensive borough to book a property. This borough is closed to many of the museums and department stores such as Harrods, Peter Jones and Harvey Nichols. Moreover, many of the most expensive residential properties in the world lie in this brough. The second one is the City of Westminster. This borough closes to many of the famous London landmarks, shopping areas and night-time entertainment area Soho. In general, inner london has much higher than than outer london area.

  • All of the london boroughs has average score ratings higher than 90 out of 100. As opposed to the price, outer london has higher review score ratings than inner london. Richmond upon Thames is the highest scores rating borough. The borough is home to open space such as Richmond Park, Kew Gardens, Bushy Park and Old Deer Park.

In [26]:
price_col = ['neighbourhood_cleansed', 'median_price']
price_london_map = london_map(borough_geo, borough_df, price_col, key_on='feature.properties.neighbourhood', 
                              legend='Median Price')
price_london_map
Out[26]:
In [27]:
review_col = ['neighbourhood_cleansed', 'review_scores_rating']
review_london_map = london_map(borough_geo, borough_df, review_col, key_on='feature.properties.neighbourhood', 
                              legend='Average review scores', marker=False)
review_london_map
Out[27]:
In [28]:
borough_df.sort_values('review_scores_rating', ascending=False)
Out[28]:
neighbourhood_cleansed review_scores_rating median_price
26 Richmond upon Thames 95.203242 89.0
15 Havering 95.007407 46.0
20 Kingston upon Thames 94.778976 54.0
23 Merton 94.773148 65.0
28 Sutton 94.623596 45.0
13 Haringey 94.520464 50.0
31 Wandsworth 94.494277 84.0
11 Hackney 94.324152 72.0
1 Barnet 94.041372 55.0
21 Lambeth 94.011255 70.0
22 Lewisham 93.967254 50.0
17 Hounslow 93.889381 60.0
30 Waltham Forest 93.821888 50.0
10 Greenwich 93.724409 60.0
9 Enfield 93.679045 50.0
8 Ealing 93.531842 55.0
7 Croydon 93.332851 45.0
25 Redbridge 93.201439 45.0
18 Islington 93.112554 90.0
27 Southwark 93.090658 79.0
16 Hillingdon 92.985037 49.0
12 Hammersmith and Fulham 92.715480 90.0
3 Brent 92.479477 59.0
24 Newham 92.396472 55.0
4 Bromley 92.275463 50.0
14 Harrow 91.901024 48.0
5 Camden 91.874067 100.0
0 Barking and Dagenham 91.826590 40.0
19 Kensington and Chelsea 91.764254 145.0
29 Tower Hamlets 91.320561 70.0
6 City of London 91.142857 143.0
32 Westminster 90.704166 130.0
2 Bexley 90.141892 40.0

Property type

  • There are large number of property type that only has a few listings. We grouped similar property types into five categroies: House, Apartment, Guesthouse, Hotel, Other

  • As expected, Hotel has the highest median price. Both Apartments and houses price varies a lot.

In [29]:
# group similar property type together
df_listings.property_type.replace({
    'Townhouse': 'House',
    'Serviced apartment': 'Apartment',
    'Condominium': 'Apartment',
    'Bed and breakfast': 'Guesthouse',
    'Loft': 'Apartment',
    'Guest suite': 'Guesthouse',
    'Hostel': 'Guesthouse',
    'Boutique hotel': 'Hotel',
    'Bungalow': 'House',
    'Cottage': 'House',
    'Aparthotel': 'Hotel',
    'Cottage': 'House',
    'Aparthotel': 'Hotel',
    'Villa': 'House',
    'Tiny house': 'House',
    'Chalet': 'House',
    'Earth house': 'House',
    'Dome house': 'House'
}, inplace=True)
In [30]:
df_listings.loc[~df_listings.property_type.isin(['House', 'Apartment', 'Guesthouse', 'Hotel']), 'property_type'] = 'Other'
In [31]:
df_listings.property_type.value_counts()
Out[31]:
Apartment     58402
House         19828
Guesthouse     1697
Other           407
Hotel           384
Name: property_type, dtype: int64
In [32]:
plot_categorical(df_listings, 'property_type', 'property_type.png', hue=None, palette='Set2', figsize=(10,4))
In [33]:
df_listings.loc[(df_listings.price <= 600) & (df_listings.price > 0)]
Out[33]:
id host_response_rate host_is_superhost host_listings_count host_has_profile_pic host_identity_verified neighbourhood_cleansed property_type room_type accommodates bathrooms bedrooms amenities price security_deposit cleaning_fee guests_included extra_people minimum_nights maximum_nights availability_90 number_of_reviews review_scores_rating review_scores_accuracy review_scores_cleanliness review_scores_checkin review_scores_communication review_scores_location review_scores_value requires_license instant_bookable is_business_travel_ready cancellation_policy require_guest_profile_picture require_guest_phone_verification
0 11551 90-100% f 3.0 t t Lambeth Apartment Entire home/apt 4 1.0 1.0 {TV,"Cable TV",Internet,Wifi,Kitchen,"Paid par... 88.0 350.0 50.0 2 20.0 2 180 20 183 92.0 9.0 9.0 10.0 10.0 9.0 9.0 f f f strict_14_with_grace_period f t
1 13913 50-74% f 4.0 t f Islington Apartment Private room 2 1.0 1.0 {TV,"Cable TV",Wifi,Kitchen,"Paid parking off ... 65.0 100.0 15.0 1 15.0 1 29 87 14 95.0 9.0 10.0 9.0 10.0 9.0 9.0 f f f moderate f f
2 15400 90-100% f 1.0 t t Kensington and Chelsea Apartment Entire home/apt 2 1.0 1.0 {TV,"Cable TV",Internet,Wifi,"Air conditioning... 100.0 150.0 50.0 2 0.0 3 50 1 84 95.0 10.0 10.0 10.0 10.0 10.0 9.0 f f f strict_14_with_grace_period t t
3 17402 75-89% t 16.0 t t Westminster Apartment Entire home/apt 6 2.0 3.0 {TV,Wifi,Kitchen,"Paid parking off premises",E... 300.0 350.0 65.0 4 10.0 3 365 17 40 93.0 10.0 9.0 9.0 9.0 10.0 9.0 f t f strict_14_with_grace_period f f
4 24328 90-100% t 2.0 t t Wandsworth House Entire home/apt 2 1.5 1.0 {TV,"Cable TV",Internet,Wifi,Kitchen,"Free par... 175.0 250.0 70.0 2 0.0 30 1125 57 92 98.0 10.0 10.0 10.0 10.0 9.0 9.0 f f f moderate t t
5 25023 90-100% t 1.0 t f Wandsworth Apartment Entire home/apt 4 1.0 2.0 {TV,Wifi,Kitchen,"Free parking on premises",El... 65.0 250.0 50.0 2 11.0 4 100 9 27 91.0 10.0 9.0 9.0 9.0 9.0 9.0 f f f moderate f f
6 25123 90-100% t 3.0 t f Barnet House Private room 2 1.5 1.0 {Wifi,Kitchen,"Buzzer/wireless intercom",Heati... 29.0 100.0 0.0 1 8.0 10 1120 1 119 95.0 10.0 10.0 10.0 10.0 9.0 10.0 f t f strict_14_with_grace_period f f
7 26223 90-100% f 4.0 t t Islington Apartment Entire home/apt 4 1.0 1.0 {TV,"Cable TV",Internet,Wifi,Kitchen,"Paid par... 147.0 100.0 75.0 3 15.0 3 365 72 61 85.0 8.0 9.0 9.0 9.0 9.0 8.0 f t f strict_14_with_grace_period f f
8 26682 unknown f 1.0 t t Kensington and Chelsea Apartment Private room 1 1.0 1.0 {TV,Internet,Wifi,Kitchen,"Pets allowed",Break... 75.0 200.0 25.0 1 0.0 1 90 88 5 76.0 8.0 8.0 8.0 8.0 9.0 9.0 f f f moderate f f
9 31361 90-100% t 2.0 t t Newham House Private room 2 1.5 1.0 {TV,Wifi,Kitchen,"Paid parking off premises",B... 34.0 0.0 10.0 1 12.0 1 30 72 110 97.0 10.0 10.0 10.0 10.0 9.0 10.0 f f f strict_14_with_grace_period t t
10 33332 90-100% f 2.0 t t Hounslow House Private room 2 1.0 1.0 {Wifi,Kitchen,"Pets live on this property",Cat... 100.0 0.0 0.0 1 0.0 1 21 87 4 85.0 8.0 10.0 10.0 10.0 10.0 7.0 f f f flexible f f
11 34825 75-89% f 1.0 t f Camden Apartment Private room 4 1.0 1.0 {Internet,Wifi,Kitchen,Breakfast,"Buzzer/wirel... 45.0 0.0 0.0 1 20.0 1 365 67 182 93.0 10.0 9.0 10.0 10.0 10.0 9.0 f f f strict_14_with_grace_period f f
12 36299 90-100% t 1.0 t t Richmond upon Thames House Entire home/apt 5 1.5 3.0 {TV,Internet,Wifi,Kitchen,Heating,"Family/kid ... 195.0 0.0 0.0 1 0.0 3 22 49 66 96.0 10.0 10.0 10.0 10.0 10.0 9.0 f f f moderate f f
13 36660 90-100% f 2.0 t f Haringey House Private room 2 1.0 1.0 {TV,Internet,Wifi,"Free parking on premises",B... 72.0 0.0 0.0 1 0.0 2 365 4 490 97.0 10.0 10.0 10.0 10.0 10.0 10.0 f t f strict_14_with_grace_period f f
14 36986 90-100% f 2.0 t t Hackney Apartment Entire home/apt 2 1.0 1.0 {TV,"Cable TV",Internet,Wifi,Kitchen,Breakfast... 80.0 0.0 30.0 1 0.0 6 21 22 52 97.0 10.0 9.0 10.0 10.0 10.0 10.0 f f f strict_14_with_grace_period f f
15 37384 90-100% f 1.0 t f Southwark House Private room 2 1.0 1.0 {TV,"Cable TV",Internet,Wifi,"Free parking on ... 70.0 0.0 0.0 1 10.0 2 21 89 53 97.0 10.0 10.0 10.0 10.0 9.0 10.0 f f f strict_14_with_grace_period f f
16 38151 unknown f 1.0 f f Croydon Apartment Private room 2 1.0 1.0 {} 65.0 0.0 0.0 1 0.0 1 730 90 0 NaN NaN NaN NaN NaN NaN NaN f f f flexible f f
17 38407 unknown f 1.0 t f Tower Hamlets Apartment Entire home/apt 2 1.0 1.0 {TV,Internet,Wifi,"Air conditioning",Kitchen,H... 79.0 0.0 0.0 2 0.0 2 365 0 137 95.0 9.0 10.0 10.0 10.0 9.0 9.0 f t f strict_14_with_grace_period f f
18 38605 90-100% t 2.0 t t Hammersmith and Fulham House Private room 2 1.0 1.0 {Wifi,"Paid parking off premises",Breakfast,He... 62.0 0.0 0.0 1 0.0 2 14 22 332 95.0 10.0 10.0 10.0 10.0 10.0 10.0 f f f moderate f t
19 38610 90-100% t 2.0 t t Hammersmith and Fulham House Entire home/apt 10 2.0 5.0 {TV,"Cable TV",Wifi,Kitchen,"Paid parking off ... 296.0 300.0 60.0 6 18.0 6 1125 6 26 98.0 10.0 9.0 10.0 10.0 9.0 10.0 f f f strict_14_with_grace_period f t
20 38950 90-100% f 4.0 t f Haringey House Private room 2 1.0 1.0 {TV,"Cable TV",Internet,Wifi,Kitchen,"Paid par... 25.0 300.0 60.0 1 25.0 1 25 90 0 NaN NaN NaN NaN NaN NaN NaN f f f strict_14_with_grace_period f f
21 38995 unknown f 1.0 t f Southwark Apartment Private room 2 1.0 1.0 {TV,Wifi,Breakfast,Heating,Essentials,Shampoo,... 45.0 0.0 5.0 1 25.0 1 4 0 0 NaN NaN NaN NaN NaN NaN NaN f f f moderate f f
22 39387 90-100% f 1.0 t f Westminster Apartment Private room 2 1.0 1.0 {TV,Wifi,Kitchen,"Smoking allowed",Heating,Was... 29.0 90.0 15.0 1 10.0 5 10 87 7 89.0 9.0 7.0 9.0 10.0 9.0 8.0 f f f moderate f f
23 40228 90-100% f 4.0 t f Haringey House Private room 2 1.5 1.0 {"Cable TV",Wifi,Kitchen,"Paid parking off pre... 29.0 300.0 60.0 1 25.0 1 31 84 0 NaN NaN NaN NaN NaN NaN NaN f f f strict_14_with_grace_period f f
24 41311 90-100% t 3.0 t f Barnet House Private room 2 1.5 1.0 {Wifi,Kitchen,"Buzzer/wireless intercom",Heati... 25.0 100.0 0.0 1 8.0 10 1124 18 77 98.0 10.0 10.0 10.0 10.0 9.0 10.0 f t f strict_14_with_grace_period f f
25 41445 90-100% f 1.0 t t Barnet Apartment Entire home/apt 4 1.0 2.0 {TV,Internet,Wifi,Kitchen,"Free parking on pre... 105.0 100.0 30.0 4 50.0 4 365 71 15 93.0 9.0 8.0 10.0 9.0 9.0 9.0 f t f strict_14_with_grace_period f f
26 41509 90-100% t 2.0 t t Hounslow Apartment Private room 4 1.0 1.0 {TV,Wifi,"Paid parking off premises",Breakfast... 49.0 200.0 15.0 1 20.0 2 50 90 67 89.0 9.0 9.0 9.0 10.0 10.0 9.0 f f f moderate f f
27 41712 90-100% t 2.0 t t Southwark Apartment Private room 2 1.0 2.0 {Wifi,Kitchen,Heating,Washer,"Smoke detector",... 60.0 100.0 14.0 1 35.0 1 365 0 80 92.0 10.0 10.0 10.0 10.0 10.0 9.0 f f f strict_14_with_grace_period t f
28 41870 unknown f 1.0 t f Waltham Forest House Private room 2 2.5 1.0 {TV,Kitchen,Breakfast,"Free street parking",He... 35.0 0.0 0.0 1 10.0 2 730 0 2 90.0 10.0 10.0 8.0 10.0 8.0 8.0 f t f moderate f f
29 42001 90-100% t 3.0 t t Hammersmith and Fulham Apartment Private room 3 1.5 1.0 {Internet,Wifi,Kitchen,"Paid parking off premi... 60.0 0.0 20.0 1 20.0 2 7 17 155 96.0 10.0 10.0 10.0 10.0 10.0 10.0 f f f moderate f f
30 42010 90-100% f 2.0 t f Barnet House Private room 2 0.0 1.0 {TV,Internet,Wifi,"Free parking on premises",B... 45.0 0.0 0.0 1 0.0 2 365 37 463 97.0 10.0 10.0 10.0 10.0 10.0 10.0 f t f strict_14_with_grace_period f f
31 42692 unknown f 1.0 t t Hammersmith and Fulham Apartment Private room 1 1.5 1.0 {TV,Wifi,Kitchen,Breakfast,Heating,Washer,Dryer} 125.0 0.0 0.0 1 0.0 1 14 0 0 NaN NaN NaN NaN NaN NaN NaN f f f moderate f f
32 43129 90-100% t 3.0 t t Hammersmith and Fulham House Private room 2 1.0 1.0 {TV,"Cable TV",Wifi,Heating,"Family/kid friend... 36.0 95.0 20.0 1 20.0 2 1125 40 179 94.0 10.0 10.0 10.0 10.0 10.0 10.0 f f f strict_14_with_grace_period t t
33 43202 90-100% t 1.0 t t Brent Apartment Entire home/apt 2 1.0 1.0 {TV,Internet,Wifi,"Wheelchair accessible",Kitc... 100.0 500.0 36.0 2 0.0 2 40 0 97 96.0 10.0 10.0 10.0 10.0 9.0 9.0 f t f moderate f f
34 44144 90-100% t 2.0 t f Hammersmith and Fulham Apartment Private room 2 1.0 1.0 {TV,Wifi,Kitchen,Breakfast,Heating,Essentials,... 65.0 300.0 50.0 1 15.0 3 90 34 33 96.0 9.0 9.0 10.0 10.0 10.0 9.0 f f f flexible f f
35 44237 90-100% t 2.0 t f Hammersmith and Fulham Apartment Private room 2 1.0 1.0 {TV,Internet,Wifi,"Pets allowed",Breakfast,Hea... 55.0 0.0 0.0 1 15.0 1 90 35 9 91.0 9.0 9.0 9.0 9.0 9.0 10.0 f f f strict_14_with_grace_period f f
36 44649 75-89% f 1.0 t t Hackney Apartment Private room 2 1.0 1.0 {Wifi,Kitchen,"Pets live on this property","Ot... 45.0 0.0 0.0 1 12.0 5 90 50 38 88.0 10.0 8.0 9.0 9.0 9.0 9.0 f f f strict_14_with_grace_period f f
37 45163 0-49% f 2.0 t f Camden Apartment Private room 1 1.0 1.0 {TV,Wifi,"Paid parking off premises",Heating,"... 40.0 150.0 20.0 1 0.0 2 7 87 1 NaN NaN NaN NaN NaN NaN NaN f f f strict_14_with_grace_period f f
38 45168 90-100% t 1.0 t t Westminster Apartment Entire home/apt 4 1.0 1.0 {Internet,Wifi,Kitchen,"Paid parking off premi... 120.0 0.0 0.0 2 10.0 3 21 0 96 96.0 10.0 9.0 10.0 10.0 10.0 9.0 f f f flexible t t
39 46491 0-49% f 1.0 t f Islington Apartment Private room 1 2.0 1.0 {TV,Internet,Wifi,Kitchen,Heating} 95.0 0.0 0.0 1 0.0 3 1125 90 0 NaN NaN NaN NaN NaN NaN NaN f f f strict_14_with_grace_period f f
40 46992 90-100% t 1.0 t t Hackney Apartment Private room 3 1.0 1.0 {Internet,Wifi,Kitchen,Heating,Washer,Dryer,"S... 54.0 80.0 12.0 1 15.0 3 62 24 184 96.0 10.0 10.0 10.0 10.0 10.0 10.0 f f f strict_14_with_grace_period f f
41 47192 90-100% t 1.0 t f Camden Apartment Private room 1 1.0 1.0 {Internet,Wifi,Kitchen,"Paid parking off premi... 39.0 0.0 16.0 1 0.0 2 7 35 350 95.0 10.0 10.0 10.0 10.0 10.0 10.0 f f f strict_14_with_grace_period t t
42 47369 90-100% f 3.0 t t Westminster Apartment Private room 2 1.0 1.0 {TV,Internet,Wifi,Kitchen,Breakfast,"Hot tub",... 48.0 100.0 20.0 1 25.0 2 40 18 101 88.0 9.0 9.0 9.0 9.0 9.0 9.0 f f f strict_14_with_grace_period t t
43 49970 75-89% f 4.0 t f Hammersmith and Fulham Apartment Entire home/apt 2 1.0 1.0 {TV,"Cable TV",Internet,Wifi,"Air conditioning... 55.0 0.0 0.0 2 0.0 1 730 0 80 93.0 10.0 10.0 10.0 10.0 10.0 9.0 f t f strict_14_with_grace_period f f
44 51578 unknown f 2.0 t t Hackney Apartment Entire home/apt 2 1.0 1.0 {Internet,Kitchen,Heating,Washer,"Smoke detect... 75.0 100.0 20.0 1 0.0 5 1125 0 16 95.0 10.0 9.0 10.0 10.0 10.0 9.0 f f f strict_14_with_grace_period f f
45 51830 90-100% f 1.0 t t Westminster Apartment Entire home/apt 3 1.0 1.0 {TV,"Cable TV",Internet,Wifi,Kitchen,"Paid par... 120.0 400.0 50.0 2 20.0 2 42 6 105 94.0 9.0 9.0 10.0 10.0 10.0 9.0 f t f strict_14_with_grace_period f f
46 52151 90-100% f 1.0 t t Islington Apartment Entire home/apt 2 1.0 1.0 {Wifi,Kitchen,"Buzzer/wireless intercom",Heati... 95.0 200.0 50.0 2 40.0 4 30 40 10 84.0 8.0 8.0 10.0 10.0 9.0 8.0 f f f strict_14_with_grace_period t t
47 53242 90-100% f 2.0 t t Lambeth Apartment Private room 1 1.0 1.0 {TV,Wifi,Kitchen,"Smoking allowed","Pets allow... 55.0 250.0 20.0 1 5.0 5 730 0 8 98.0 10.0 10.0 10.0 10.0 9.0 10.0 f f f strict_14_with_grace_period f f
48 53245 90-100% f 2.0 t t Lambeth Apartment Entire home/apt 2 1.0 1.0 {TV,Internet,Wifi,Kitchen,"Pets allowed",Heati... 85.0 400.0 0.0 1 10.0 4 730 2 6 96.0 10.0 10.0 10.0 10.0 10.0 9.0 f f f strict_14_with_grace_period f f
49 55402 90-100% t 4.0 t t Croydon Apartment Entire home/apt 4 2.0 2.0 {TV,Wifi,"Wheelchair accessible",Kitchen,"Free... 55.0 300.0 50.0 4 0.0 14 730 0 2 100.0 10.0 9.0 10.0 9.0 10.0 10.0 f f f moderate f f
... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
80716 34428504 75-89% f 3.0 t f Hackney Apartment Entire home/apt 4 2.0 2.0 {TV,Wifi,Kitchen,"Smoking allowed",Elevator,He... 190.0 0.0 20.0 1 0.0 1 3 7 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80717 34428790 unknown f 3.0 t f Kensington and Chelsea Apartment Entire home/apt 6 2.0 2.0 {TV,Wifi,"Air conditioning",Kitchen,Gym,Elevat... 300.0 0.0 50.0 2 20.0 1 1125 76 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80718 34428834 90-100% f 4.0 t t Camden Apartment Entire home/apt 7 1.5 1.0 {TV,Wifi,Heating,Washer,Dryer,"Smoke detector"... 155.0 99.0 49.0 1 0.0 2 365 88 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80719 34428914 unknown f 1.0 t f Bromley House Entire home/apt 6 2.5 3.0 {TV,Wifi,Kitchen,"Free parking on premises","H... 350.0 0.0 0.0 1 0.0 3 25 16 0 NaN NaN NaN NaN NaN NaN NaN f f f flexible f f
80720 34429152 unknown f 1.0 t f Westminster Apartment Private room 1 1.0 1.0 {Wifi,Kitchen,Heating,Washer,Essentials,"Lapto... 60.0 0.0 20.0 1 0.0 3 1125 43 1 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80721 34429165 90-100% f 3.0 t f Hackney House Private room 1 1.5 1.0 {TV,Internet,Wifi,Kitchen,"Paid parking off pr... 33.0 0.0 35.0 1 0.0 5 20 83 0 NaN NaN NaN NaN NaN NaN NaN f t f strict_14_with_grace_period f f
80722 34430293 75-89% f 6.0 t t Newham Apartment Entire home/apt 4 1.0 2.0 {} 100.0 150.0 60.0 1 0.0 5 1125 80 0 NaN NaN NaN NaN NaN NaN NaN f t f strict_14_with_grace_period f f
80723 34430582 unknown f 2.0 t f Westminster Apartment Private room 2 1.0 1.0 {TV,Wifi,Kitchen,Elevator,Heating,Washer,Dryer... 60.0 0.0 0.0 1 20.0 1 1125 34 0 NaN NaN NaN NaN NaN NaN NaN f f f strict_14_with_grace_period f f
80724 34430623 90-100% t 2.0 t f Westminster Apartment Private room 2 1.0 1.0 {Wifi,Gym,Breakfast,Elevator,Heating,Washer,"S... 55.0 76.0 0.0 1 15.0 1 1125 4 0 NaN NaN NaN NaN NaN NaN NaN f f f moderate f f
80725 34430774 unknown f 1.0 t f Brent Apartment Private room 1 1.0 1.0 {TV,Wifi,Kitchen,Heating,Washer,"Smoke detecto... 32.0 0.0 0.0 1 0.0 3 1125 83 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80726 34430826 90-100% f 3.0 t f Tower Hamlets Apartment Entire home/apt 4 1.0 1.0 {TV,Wifi,Kitchen,"Pets allowed",Heating,Washer... 250.0 0.0 0.0 1 0.0 1 1125 65 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80727 34431193 unknown f 1.0 t t Waltham Forest Apartment Entire home/apt 2 1.0 1.0 {Wifi,Heating,Essentials,Shampoo,"Hair dryer",... 100.0 0.0 40.0 1 0.0 2 1125 23 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80728 34431555 0-49% f 2.0 t f Westminster Apartment Entire home/apt 4 1.0 1.0 {TV,Wifi,Kitchen,Heating,Washer,Dryer,"Smoke d... 150.0 0.0 0.0 1 0.0 3 1125 53 0 NaN NaN NaN NaN NaN NaN NaN f f f flexible f f
80730 34432094 unknown f 1.0 t f Southwark Apartment Private room 2 1.0 1.0 {Wifi,Kitchen,"Smoking allowed","Pets allowed"... 30.0 0.0 0.0 1 0.0 2 7 13 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80731 34432211 unknown f 2.0 t f Hammersmith and Fulham Apartment Private room 1 1.0 1.0 {TV,Wifi,Kitchen,Heating,Washer,Essentials,"Ha... 38.0 0.0 0.0 1 0.0 5 7 38 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80732 34432280 90-100% f 4.0 t f Lambeth Apartment Entire home/apt 4 2.0 2.0 {TV,"Cable TV",Wifi,Kitchen,Elevator,Heating,W... 500.0 0.0 80.0 2 15.0 5 1125 76 0 NaN NaN NaN NaN NaN NaN NaN f f f strict_14_with_grace_period f f
80733 34432419 unknown f 1.0 t f Barking and Dagenham Apartment Entire home/apt 4 1.0 2.0 {TV,Wifi,Kitchen,"Free parking on premises",He... 60.0 0.0 0.0 1 0.0 2 1125 84 0 NaN NaN NaN NaN NaN NaN NaN f t f strict_14_with_grace_period f f
80734 34432955 90-100% f 1.0 t f City of London Apartment Private room 2 2.0 1.0 {TV,Wifi,Kitchen,"Free parking on premises","S... 58.0 0.0 0.0 1 0.0 1 56 0 0 NaN NaN NaN NaN NaN NaN NaN f f f flexible f f
80735 34432984 unknown f 1.0 t f Hillingdon Apartment Entire home/apt 2 1.5 1.0 {TV,Wifi,"Free parking on premises","Smoking a... 200.0 0.0 0.0 1 0.0 7 7 65 0 NaN NaN NaN NaN NaN NaN NaN f t f moderate f f
80736 34433262 90-100% f 43.0 t t Camden Apartment Entire home/apt 4 1.0 1.0 {TV,Wifi,Kitchen,"Paid parking off premises","... 55.0 0.0 39.0 3 0.0 1 365 63 0 NaN NaN NaN NaN NaN NaN NaN f t f strict_14_with_grace_period f f
80737 34433286 unknown f 2.0 t f Hackney Apartment Private room 2 1.0 1.0 {Wifi,"Air conditioning",Kitchen,Breakfast,"Ho... 39.0 0.0 0.0 1 0.0 1 2 0 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80738 34433931 unknown f 1.0 t f Kensington and Chelsea Apartment Entire home/apt 3 1.0 1.0 {TV,Wifi,Kitchen,"Free parking on premises",Br... 110.0 0.0 0.0 1 0.0 2 30 9 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80739 34434142 90-100% f 2.0 t f Hammersmith and Fulham House Entire home/apt 6 2.0 3.0 {TV,Wifi,Kitchen,Heating,Washer,"Smoke detecto... 164.0 0.0 50.0 5 15.0 2 60 49 0 NaN NaN NaN NaN NaN NaN NaN f f f strict_14_with_grace_period f f
80740 34434494 90-100% f 41.0 t f Hounslow House Private room 9 2.5 4.0 {TV,Wifi,Kitchen,"Free parking on premises","F... 45.0 0.0 0.0 1 15.0 1 1125 82 0 NaN NaN NaN NaN NaN NaN NaN f f f strict_14_with_grace_period f f
80741 34435094 90-100% f 2.0 t f Camden House Private room 2 1.0 1.0 {TV,Wifi,Heating,Washer,Essentials,Shampoo,"Lo... 70.0 0.0 0.0 1 0.0 1 1125 8 0 NaN NaN NaN NaN NaN NaN NaN f f f flexible f f
80742 34435133 unknown f 1.0 t t Barnet Guesthouse Private room 2 1.0 1.0 {Wifi,Kitchen,Heating,"Smoke detector","Carbon... 35.0 0.0 0.0 1 0.0 1 1125 49 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80743 34435314 90-100% t 22.0 t t Tower Hamlets House Private room 1 1.0 1.0 {TV,Internet,Wifi,Kitchen,Heating,Washer,Dryer... 40.0 200.0 30.0 1 10.0 14 150 34 0 NaN NaN NaN NaN NaN NaN NaN f f f strict_14_with_grace_period f f
80744 34435328 90-100% f 3.0 t f Barnet Apartment Entire home/apt 2 1.0 1.0 {TV,Wifi,Kitchen,"Free parking on premises","S... 75.0 0.0 0.0 2 0.0 2 365 16 0 NaN NaN NaN NaN NaN NaN NaN f t f moderate f f
80745 34435335 unknown f 1.0 t t Hackney Apartment Entire home/apt 2 2.0 1.0 {Wifi,Kitchen,"Smoking allowed",Breakfast,Heat... 80.0 0.0 0.0 1 0.0 3 9 68 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible t t
80746 34435447 90-100% f 1.0 t t Waltham Forest House Entire home/apt 9 1.0 4.0 {Wifi,Kitchen,"Free parking on premises","Pets... 129.0 150.0 25.0 1 0.0 3 30 27 0 NaN NaN NaN NaN NaN NaN NaN f f f strict_14_with_grace_period f f
80747 34435560 unknown f 2.0 t f Westminster Apartment Entire home/apt 4 1.0 2.0 {TV,Wifi,"Air conditioning",Kitchen,"Hot tub",... 350.0 0.0 0.0 1 0.0 3 1125 83 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80748 34435692 unknown f 2.0 t f Richmond upon Thames Other Entire home/apt 2 1.0 1.0 {TV,Wifi,Kitchen,"Free parking on premises",Br... 100.0 0.0 0.0 1 0.0 2 3 26 0 NaN NaN NaN NaN NaN NaN NaN f t f moderate f f
80749 34435728 unknown f 3.0 t f Westminster Apartment Private room 2 1.0 0.0 {Wifi,Kitchen,"Smoking allowed","Smoke detecto... 55.0 0.0 30.0 1 10.0 1 1125 69 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80750 34435930 unknown f 2.0 t f Hammersmith and Fulham Apartment Private room 1 1.0 3.0 {TV,Wifi,Kitchen,Heating,Washer,Essentials,"Ha... 26.0 80.0 10.0 1 0.0 7 7 82 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80751 34435933 90-100% t 7.0 t t Kensington and Chelsea Apartment Entire home/apt 5 1.5 3.0 {Wifi,"Air conditioning",Kitchen,Heating,Washe... 180.0 250.0 70.0 1 0.0 2 300 73 0 NaN NaN NaN NaN NaN NaN NaN f t f strict_14_with_grace_period f f
80752 34435935 unknown f 1.0 t f Tower Hamlets Apartment Entire home/apt 4 1.0 0.0 {Kitchen,"Smoking allowed",Heating,Washer,"Smo... 72.0 0.0 0.0 1 0.0 1 1125 4 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80753 34436151 unknown f 2.0 t f Kensington and Chelsea Apartment Entire home/apt 4 1.0 2.0 {TV,Wifi,"Air conditioning",Kitchen,"Hot tub",... 350.0 0.0 0.0 1 0.0 5 1125 28 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80754 34436478 unknown f 1.0 t f Westminster Apartment Private room 5 2.0 2.0 {TV,Wifi,"Air conditioning","Smoking allowed",... 200.0 0.0 0.0 1 0.0 1 1125 83 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80755 34437254 unknown f 2.0 t f Southwark Apartment Entire home/apt 1 1.0 0.0 {TV,Wifi,"Air conditioning",Breakfast,Heating,... 190.0 0.0 0.0 1 0.0 1 1125 65 0 NaN NaN NaN NaN NaN NaN NaN f f f flexible f f
80756 34437329 90-100% f 1.0 t f Bromley House Private room 1 1.0 1.0 {TV,Wifi,"Air conditioning",Kitchen,"Free park... 45.0 0.0 0.0 1 0.0 6 1125 24 0 NaN NaN NaN NaN NaN NaN NaN f f f flexible f f
80757 34437443 unknown f 0.0 t f Tower Hamlets Apartment Entire home/apt 4 1.0 1.0 {TV,Wifi,Kitchen,Elevator,Heating,Washer,Dryer... 99.0 0.0 0.0 1 0.0 3 1125 17 0 NaN NaN NaN NaN NaN NaN NaN f f f flexible f f
80758 34437984 90-100% f 2.0 t f Westminster Apartment Entire home/apt 4 1.0 2.0 {TV,Wifi,Kitchen,Breakfast,Elevator,Heating,Wa... 270.0 0.0 0.0 1 0.0 7 30 90 0 NaN NaN NaN NaN NaN NaN NaN f t f flexible f f
80759 34438534 50-74% f 4.0 t f Hammersmith and Fulham Apartment Entire home/apt 6 2.5 3.0 {TV,Wifi,"Air conditioning",Kitchen,"Free park... 295.0 0.0 0.0 1 0.0 1 1125 48 0 NaN NaN NaN NaN NaN NaN NaN f f f flexible f f
80760 34439605 unknown f 1.0 t f Westminster Apartment Entire home/apt 4 1.0 2.0 {TV,Wifi,Kitchen,Heating,Washer,Dryer,"Smoke d... 200.0 0.0 0.0 1 0.0 14 1125 19 0 NaN NaN NaN NaN NaN NaN NaN f f f flexible f f
80761 34439755 unknown f 2.0 t f Newham Apartment Private room 2 1.0 1.0 {TV,Wifi,Kitchen,Gym,Elevator,Heating,Washer,"... 60.0 0.0 0.0 1 0.0 2 20 51 0 NaN NaN NaN NaN NaN NaN NaN f f f flexible f f
80762 34440357 90-100% f 2.0 t f Kensington and Chelsea Apartment Entire home/apt 7 2.0 2.0 {TV,"Cable TV",Wifi,Kitchen,"Free street parki... 99.0 490.0 59.0 3 12.0 3 15 25 0 NaN NaN NaN NaN NaN NaN NaN f f f strict_14_with_grace_period f f
80763 34441795 90-100% f 8.0 t t Islington Apartment Entire home/apt 5 1.0 2.0 {TV,Wifi,"Air conditioning",Kitchen,Heating,"S... 117.0 80.0 25.0 2 18.0 2 14 34 0 NaN NaN NaN NaN NaN NaN NaN f f f moderate f f
80764 34442106 unknown f 1.0 t t Islington Apartment Private room 2 1.0 1.0 {Wifi,Kitchen,"Smoking allowed",Elevator,Washe... 54.0 0.0 0.0 1 0.0 2 30 66 0 NaN NaN NaN NaN NaN NaN NaN f f f flexible f f
80765 34442320 unknown f 1.0 t f Camden Apartment Entire home/apt 2 1.0 0.0 {Wifi,Kitchen,"Smoking allowed",Breakfast,Heat... 125.0 0.0 0.0 1 0.0 2 1125 83 0 NaN NaN NaN NaN NaN NaN NaN f f f flexible f f
80766 34443594 90-100% f 4.0 t t Croydon Apartment Entire home/apt 1 1.0 1.0 {TV,Wifi,Kitchen,"Pets allowed",Heating,Washer... 25.0 120.0 30.0 1 0.0 30 365 75 0 NaN NaN NaN NaN NaN NaN NaN f f f flexible f f

79714 rows × 35 columns

In [34]:
def box_plot_price(x, figsize=(10, 5)):
    """
    Return ordered box plots with differet categories
    
    Arguments
    =========
        x: categorical variable
        figsize: tuple, size of the figure
    
    """
    filtered_df = df_listings.loc[(df_listings.price <= 600) & (df_listings.price > 0)]
    sort_price = filtered_df.groupby(x)['price'].median()\
                 .sort_values(ascending=False).index
    
    fig, ax = plt.subplots(figsize=figsize)
    sns.boxplot(y='price', x=x, data=filtered_df, order=sort_price)
    ax.set_xticklabels(ax.get_xticklabels())
    
In [35]:
box_plot_price('property_type')

Room Type

In [36]:
df_listings.room_type.value_counts()
Out[36]:
Entire home/apt    45046
Private room       34934
Shared room          738
Name: room_type, dtype: int64
  • Entire home/apt has much higher median price than the other room types
  • As expected, many of the private room has price lower than £100. Also, Entire home/apt has the most number of listings.
In [37]:
box_plot_price('room_type')
In [38]:
fig, ax = plt.subplots(figsize=(10, 5))
df_listings.loc[(df_listings.price <= 600) & (df_listings.price > 0)]\
    .pivot(columns='room_type', values='price')\
    .plot.hist(stacked=True, bins=100, ax=ax)
plt.xlabel('Listing price in $')
Out[38]:
<matplotlib.axes._subplots.AxesSubplot at 0x2381f57dfd0>
Out[38]:
Text(0.5,0,'Listing price in $')

Amenities

  • Wifi, heating, essential, Washer are most common ammenities.
  • We use count vectorizer to turn text into word count vectors that can be used in machine learning models.
  • There are 201 features for amenities. We have to reduce the number of features. It can be done by removing categories that appear fewer than 15% of listings.
In [39]:
df_listings.amenities = df_listings.amenities.str.replace("[{}]", "").str.replace('"', "")
In [40]:
fig, ax = plt.subplots(figsize=(15, 6))
color = next(ax._get_lines.prop_cycler)['color']
top_30_amenities = pd.Series(np.concatenate(np.array(df_listings['amenities'].map(lambda amns: amns.split(",")))))\
          .value_counts().head(30)

sns.barplot(top_30_amenities.index, top_30_amenities.values, palette=("Blues_d"))
ax.set_xticklabels(ax.get_xticklabels(), rotation=45, ha='right', fontsize=12);
In [41]:
df_listings.info()
<class 'pandas.core.frame.DataFrame'>
Int64Index: 80718 entries, 0 to 80766
Data columns (total 35 columns):
id                                  80718 non-null int64
host_response_rate                  80718 non-null object
host_is_superhost                   80718 non-null object
host_listings_count                 80718 non-null float64
host_has_profile_pic                80718 non-null object
host_identity_verified              80718 non-null object
neighbourhood_cleansed              80718 non-null object
property_type                       80718 non-null object
room_type                           80718 non-null object
accommodates                        80718 non-null int64
bathrooms                           80718 non-null float64
bedrooms                            80718 non-null float64
amenities                           80718 non-null object
price                               80718 non-null float64
security_deposit                    80718 non-null float64
cleaning_fee                        80718 non-null float64
guests_included                     80718 non-null int64
extra_people                        80718 non-null float64
minimum_nights                      80718 non-null int64
maximum_nights                      80718 non-null int64
availability_90                     80718 non-null int64
number_of_reviews                   80718 non-null int64
review_scores_rating                58487 non-null float64
review_scores_accuracy              58434 non-null float64
review_scores_cleanliness           58446 non-null float64
review_scores_checkin               58377 non-null float64
review_scores_communication         58435 non-null float64
review_scores_location              58377 non-null float64
review_scores_value                 58377 non-null float64
requires_license                    80718 non-null object
instant_bookable                    80718 non-null object
is_business_travel_ready            80718 non-null object
cancellation_policy                 80718 non-null object
require_guest_profile_picture       80718 non-null object
require_guest_phone_verification    80718 non-null object
dtypes: float64(14), int64(7), object(14)
memory usage: 24.7+ MB

Review scores columns

  • review_scores columns are highly coorelated with each other, thus we can keep only one column *
In [42]:
review_columns = ['review_scores_rating', 'review_scores_accuracy', 'review_scores_cleanliness',
                  'review_scores_communication', 'review_scores_checkin', 'review_scores_location', 'review_scores_value']
annotated_heatmap(df_listings, review_columns, figsize=(11, 15))
In [43]:
review_col_drop = ['review_scores_accuracy', 'review_scores_cleanliness', 'review_scores_value',
                   'review_scores_communication', 'review_scores_checkin', 'review_scores_location']
df_listings = df_listings.drop(review_col_drop, axis=1)
In [44]:
fig, ax = plt.subplots(figsize=(10, 5))
df_listings.review_scores_rating.hist(bins=10, ax=ax)
ax.set_xlabel('review score ratings')
ax.set_ylabel('Frequency');
In [45]:
bin_column(df_listings, 'review_scores_rating', 
          bins=[0, 80, 95, 100],
          labels=['0-79', '80-94', '95-100'],
          na_label='no reviews')
In [46]:
df_listings.cancellation_policy.value_counts()
Out[46]:
strict_14_with_grace_period    34226
flexible                       26340
moderate                       19298
super_strict_30                  425
super_strict_60                  411
luxury_moderate                    9
strict                             9
Name: cancellation_policy, dtype: int64

Modelling Listing price

In this section, we first prepare data for machine learning algorithms. Count vectorizer will be used for amenities columns which contains text. One-hot encoding will be applied for categorical variables. Next, we use random forest regressions and XGBoost to predict the listing's price. The evaluation metrics used will be RMSE and r squared.

In [47]:
df_listings.amenities = df_listings.amenities.str.replace("[{}]", "").str.replace('"', "").str.strip()
In [48]:
count_vectorizer =  CountVectorizer(tokenizer=lambda x: x.split(','))
amenities = count_vectorizer.fit_transform(df_listings['amenities'])
df_amenities = pd.DataFrame(amenities.toarray(), columns=count_vectorizer.get_feature_names())
df_amenities = df_amenities.drop('', axis=1)
In [49]:
amenities_to_remove = []
for col in df_amenities.columns:
    if (df_amenities[col].sum() / len(df_listings) * 100) < 15:
        amenities_to_remove.append(col)

df_amenities = df_amenities.drop(amenities_to_remove, axis=1)
In [50]:
df_listings.drop('amenities', axis=1, inplace=True)
In [51]:
# Replace True False into 1 and 0
df_listings = df_listings.replace({'f': 0, 't': 1})
In [52]:
new_listings = pd.get_dummies(df_listings)
In [53]:
# concatenate amenities feautres
new_listings = pd.concat([new_listings, df_amenities], axis=1, join='inner')
In [114]:
# log transform price:
new_listings['price'] = new_listings['price'].astype('float64').replace(0.0, 0.01)
new_listings['price'] = np.log(new_listings['price'])

export_csv = new_listings.to_csv (r'preprocessed_data/listing.csv', index = None, header=True)
In [116]:
df_listings_cat = pd.concat([df_listings, df_amenities], axis=1, join='inner')
df_listings_cat['price'] =  df_listings_cat['price'].astype('float64').replace(0.0, 0.01)
df_listings_cat['price'] = np.log(df_listings_cat['price'])
export_csv_cat = df_listings_cat.to_csv(r'preprocessed_data/listing_cat.csv', 
                                        index = None, header=True)
In [56]:
X = new_listings.drop('price', axis=1)
y = new_listings.price
X_cat = df_listings_cat.drop('price', axis=1)
y_cat = df_listings_cat.price
In [57]:
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.25, random_state=42)
X_train_cat, X_test_cat, y_train_cat, y_test_cat = train_test_split(X_cat, y_cat, test_size=0.25, random_state=42)

Random Forest Regressor

In [58]:
print('Training set shape', X_train.shape)
print('Training labels shape', y_train.shape)
print('Testing set shape', X_test.shape)
print('Testing labels shape', y_test.shape)
Training set shape (60501, 116)
Training labels shape (60501,)
Testing set shape (20168, 116)
Testing labels shape (20168,)
In [67]:
# Instantiate model
rf = RandomForestRegressor(n_estimators=500, 
                           random_state=42,
                           n_jobs=-1)
rf.fit(X_train, y_train)
Out[67]:
RandomForestRegressor(bootstrap=True, criterion='mse', max_depth=None,
           max_features='auto', max_leaf_nodes=None,
           min_impurity_decrease=0.0, min_impurity_split=None,
           min_samples_leaf=1, min_samples_split=2,
           min_weight_fraction_leaf=0.0, n_estimators=500, n_jobs=-1,
           oob_score=False, random_state=42, verbose=0, warm_start=False)
In [69]:
print('Parameters currently in use: \n')
pprint(rf.get_params())
Parameters currently in use: 

{'bootstrap': True,
 'criterion': 'mse',
 'max_depth': None,
 'max_features': 'auto',
 'max_leaf_nodes': None,
 'min_impurity_decrease': 0.0,
 'min_impurity_split': None,
 'min_samples_leaf': 1,
 'min_samples_split': 2,
 'min_weight_fraction_leaf': 0.0,
 'n_estimators': 500,
 'n_jobs': -1,
 'oob_score': False,
 'random_state': 42,
 'verbose': 0,
 'warm_start': False}

Random Search with Cross Validation

In [70]:
# Numbe of trees in random forest
n_estimators = [int(x) for x in np.linspace(200, 2000, num=5)]
# Number of features to consider at every split
max_features = ['auto', 'sqrt']
# Maximum number of levels in tree
max_depth = [int(x) for x in np.linspace(20, 100, num = 5)]
max_depth.append(None)
# Minimum number of samples required to split a node
min_samples_split = [2, 5, 10]
# Minimum number of samples required at each leaf node
min_samples_leaf = [1, 2, 4]
# Method of selecting samples for training each tree
bootstrap = [True, False]

# Create the random grid
random_grid = {'n_estimators': n_estimators,
               'max_features': max_features,
               'max_depth': max_depth,
               'min_samples_split': min_samples_split,
               'min_samples_leaf': min_samples_leaf,
               'bootstrap': bootstrap}

pprint(random_grid)
{'bootstrap': [True, False],
 'max_depth': [20, 40, 60, 80, 100, None],
 'max_features': ['auto', 'sqrt'],
 'min_samples_leaf': [1, 2, 4],
 'min_samples_split': [2, 5, 10],
 'n_estimators': [200, 650, 1100, 1550, 2000]}
In [71]:
# Use the random grid to search for best hyperparameters
# First create the base model to tune
rf = RandomForestRegressor(random_state = 42)
# Random search of parameters, using 3 fold cross validation, 
# search across 100 different combinations, and use all available cores

rf_random = RandomizedSearchCV(estimator=rf, param_distributions=random_grid,
                              n_iter = 20, scoring='neg_mean_squared_error', 
                              cv = 3, verbose=2, random_state=42, n_jobs=-1,
                              return_train_score=True)

# Fit the random search model
rf_random.fit(X_train, y_train);
Fitting 3 folds for each of 20 candidates, totalling 60 fits
[Parallel(n_jobs=-1)]: Using backend LokyBackend with 12 concurrent workers.
[Parallel(n_jobs=-1)]: Done  17 tasks      | elapsed: 46.1min
[Parallel(n_jobs=-1)]: Done  60 out of  60 | elapsed: 164.3min finished
In [72]:
rf_random.best_params_
Out[72]:
{'n_estimators': 1550,
 'min_samples_split': 10,
 'min_samples_leaf': 1,
 'max_features': 'sqrt',
 'max_depth': None,
 'bootstrap': False}
In [103]:
def evaluate(model, X_test, y_test):
    y_test_pred = model.predict(X_test)
    rmse_rf = (mean_squared_error(y_test, y_test_pred))**0.5
    r2score = r2_score(y_test, y_test_pred)
    
    print(f'RMSE test: {rmse_rf}')
    print(f'R2 score test: {r2score}')
    
    return rmse_rf, r2score
In [79]:
base_model = RandomForestRegressor(n_estimators=500, 
                           random_state=42,
                           n_jobs=-1)

base_model.fit(X_train, y_train)
base_rmse, base_r2 = evaluate(base_model, X_test, y_test)
Out[79]:
RandomForestRegressor(bootstrap=True, criterion='mse', max_depth=None,
           max_features='auto', max_leaf_nodes=None,
           min_impurity_decrease=0.0, min_impurity_split=None,
           min_samples_leaf=1, min_samples_split=2,
           min_weight_fraction_leaf=0.0, n_estimators=500, n_jobs=-1,
           oob_score=False, random_state=42, verbose=0, warm_start=False)
RMSE test: 0.1737647029434023
R2 score test: 0.7255018998606462
In [110]:
best_random = RandomForestRegressor(n_estimators=1550,
                                    min_samples_split=10,
                                    min_samples_leaf=1,
                                    max_features='sqrt',
                                    max_depth=None,
                                    bootstrap=False)
best_random.fit(X_train, y_train)
best_rmse, best_r2 = evaluate(best_random, X_test, y_test)
Out[110]:
RandomForestRegressor(bootstrap=False, criterion='mse', max_depth=None,
           max_features='sqrt', max_leaf_nodes=None,
           min_impurity_decrease=0.0, min_impurity_split=None,
           min_samples_leaf=1, min_samples_split=10,
           min_weight_fraction_leaf=0.0, n_estimators=1550, n_jobs=None,
           oob_score=False, random_state=None, verbose=0, warm_start=False)
RMSE test: 0.4143680682673386
R2 score test: 0.7287621194307339
In [86]:
print(f"The model after using RandomizedSearchCV improve the RMSE by " 
      f"{100 * (base_rmse - best_rmse) / base_rmse:.2f}%")

print(f"The model after using RandomizedSearchCV improve the r2 score by " 
      f"{100 * (best_r2 - base_r2) / base_r2:.2f}%")
The model after using RandomizedSearchCV improve the RMSE by 1.08%
The model after using RandomizedSearchCV improve the r2 score by 0.41%

CatBoost

  • Without hyperparameter tuning, the out-of-box algorithm is already better than the tuned random forest model
In [63]:
def column_index(df, query_cols):
    cols = df.columns.values
    sidx = np.argsort(cols)
    return sidx[np.searchsorted(cols, query_cols, sorter=sidx)]

categorical = ['host_response_rate', 'neighbourhood_cleansed', 'property_type', 'room_type',
               'review_scores_rating', 'cancellation_policy']

categorical_features_indices = column_index(X_cat, categorical)
In [92]:
model=CatBoostRegressor(loss_function='RMSE')
model.fit(X_train_cat, y_train_cat,cat_features=categorical_features_indices,eval_set=(X_test_cat, y_test_cat),plot=True);
0:	learn: 4.3461433	test: 4.3433184	best: 4.3433184 (0)	total: 70.2ms	remaining: 1m 10s
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bestTest = 0.4108010421
bestIteration = 997

Shrink model to first 998 iterations.
In [93]:
evaluate(model, X_test_cat, y_test_cat)
MSE test: 0.4108010385808124
R2 score test: 0.7334118465361525
Out[93]:
(0.4108010385808124, 0.7334118465361525)
In [101]:
# The maximum number of trees
iterations = [int(x) for x in np.linspace(500, 2000, num=5)]
# Learning rate
learning_rate = [0.03, 0.1, 0.15]


# Create the random grid
params = {'iterations': [int(x) for x in np.linspace(500, 2000, num=5)],
          'learning_rate': [0.03, 0.1, 0.15],
          'depth': [4, 8, 10],
          'l2_leaf_reg': [1, 4],
         }
cb_reg = CatBoostRegressor()
cb_grid = RandomizedSearchCV(estimator=cb_reg, param_distributions=params,
                            n_iter=10, scoring='neg_mean_squared_error',
                            cv=3, verbose=2, random_state=42,
                            return_train_score=True)
cb_grid.fit(X_train_cat, y_train_cat, cat_features=categorical_features_indices,
            eval_set=(X_test_cat, y_test_cat))
Fitting 3 folds for each of 10 candidates, totalling 30 fits
[CV] learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=8 .......
[Parallel(n_jobs=1)]: Using backend SequentialBackend with 1 concurrent workers.
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bestTest = 0.4279188197
bestIteration = 796

Shrink model to first 797 iterations.
[CV]  learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=8, total= 1.9min
[CV] learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=8 .......
[Parallel(n_jobs=1)]: Done   1 out of   1 | elapsed:  1.9min remaining:    0.0s
0:	learn: 4.0432370	test: 4.0387359	best: 4.0387359 (0)	total: 145ms	remaining: 2m 6s
1:	learn: 3.6494999	test: 3.6460952	best: 3.6460952 (1)	total: 275ms	remaining: 1m 59s
2:	learn: 3.2937317	test: 3.2913101	best: 3.2913101 (2)	total: 341ms	remaining: 1m 38s
3:	learn: 2.9760483	test: 2.9742312	best: 2.9742312 (3)	total: 481ms	remaining: 1m 44s
4:	learn: 2.6912495	test: 2.6903985	best: 2.6903985 (4)	total: 616ms	remaining: 1m 47s
5:	learn: 2.4363485	test: 2.4363695	best: 2.4363695 (5)	total: 756ms	remaining: 1m 49s
6:	learn: 2.2078236	test: 2.2084893	best: 2.2084893 (6)	total: 895ms	remaining: 1m 51s
7:	learn: 2.0029659	test: 2.0042176	best: 2.0042176 (7)	total: 1.05s	remaining: 1m 54s
8:	learn: 1.8186035	test: 1.8204604	best: 1.8204604 (8)	total: 1.19s	remaining: 1m 54s
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874:	learn: 0.4012901	test: 0.4225573	best: 0.4225539 (844)	total: 2m 4s	remaining: 0us

bestTest = 0.4225539069
bestIteration = 844

Shrink model to first 845 iterations.
[CV]  learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=8, total= 2.1min
[CV] learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=8 .......
0:	learn: 4.0372976	test: 4.0387976	best: 4.0387976 (0)	total: 156ms	remaining: 2m 16s
1:	learn: 3.6442432	test: 3.6462921	best: 3.6462921 (1)	total: 319ms	remaining: 2m 19s
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3:	learn: 2.9726186	test: 2.9754262	best: 2.9754262 (3)	total: 555ms	remaining: 2m
4:	learn: 2.6901524	test: 2.6930851	best: 2.6930851 (4)	total: 694ms	remaining: 2m
5:	learn: 2.4338612	test: 2.4370256	best: 2.4370256 (5)	total: 840ms	remaining: 2m 1s
6:	learn: 2.2047418	test: 2.2080299	best: 2.2080299 (6)	total: 900ms	remaining: 1m 51s
7:	learn: 1.9988481	test: 2.0023637	best: 2.0023637 (7)	total: 948ms	remaining: 1m 42s
8:	learn: 1.8149249	test: 1.8184916	best: 1.8184916 (8)	total: 1.09s	remaining: 1m 44s
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bestTest = 0.4195749118
bestIteration = 816

Shrink model to first 817 iterations.
[CV]  learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=8, total= 2.2min
[CV] learning_rate=0.1, l2_leaf_reg=4, iterations=1625, depth=4 ......
0:	learn: 4.0436573	test: 4.0390672	best: 4.0390672 (0)	total: 46.4ms	remaining: 1m 15s
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5:	learn: 2.4354716	test: 2.4333313	best: 2.4333313 (5)	total: 297ms	remaining: 1m 20s
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7:	learn: 1.9999043	test: 1.9987469	best: 1.9987469 (7)	total: 401ms	remaining: 1m 21s
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bestTest = 0.4151698054
bestIteration = 1624

[CV]  learning_rate=0.1, l2_leaf_reg=4, iterations=1625, depth=4, total= 1.3min
[CV] learning_rate=0.1, l2_leaf_reg=4, iterations=1625, depth=4 ......
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1611:	learn: 0.3905792	test: 0.4144834	best: 0.4144834 (1611)	total: 1m 14s	remaining: 599ms
1612:	learn: 0.3905709	test: 0.4144819	best: 0.4144819 (1612)	total: 1m 14s	remaining: 553ms
1613:	learn: 0.3905709	test: 0.4144815	best: 0.4144815 (1613)	total: 1m 14s	remaining: 506ms
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1624:	learn: 0.3905104	test: 0.4144862	best: 0.4144815 (1613)	total: 1m 14s	remaining: 0us

bestTest = 0.4144815016
bestIteration = 1613

Shrink model to first 1614 iterations.
[CV]  learning_rate=0.1, l2_leaf_reg=4, iterations=1625, depth=4, total= 1.3min
[CV] learning_rate=0.1, l2_leaf_reg=4, iterations=1625, depth=4 ......
0:	learn: 4.0353071	test: 4.0367935	best: 4.0367935 (0)	total: 41.3ms	remaining: 1m 7s
1:	learn: 3.6406775	test: 3.6424747	best: 3.6424747 (1)	total: 83.5ms	remaining: 1m 7s
2:	learn: 3.2870977	test: 3.2892144	best: 3.2892144 (2)	total: 125ms	remaining: 1m 7s
3:	learn: 2.9693847	test: 2.9717455	best: 2.9717455 (3)	total: 166ms	remaining: 1m 7s
4:	learn: 2.6848565	test: 2.6873143	best: 2.6873143 (4)	total: 210ms	remaining: 1m 8s
5:	learn: 2.4296965	test: 2.4323315	best: 2.4323315 (5)	total: 247ms	remaining: 1m 6s
6:	learn: 2.2017798	test: 2.2046274	best: 2.2046274 (6)	total: 282ms	remaining: 1m 5s
7:	learn: 1.9964875	test: 1.9995060	best: 1.9995060 (7)	total: 318ms	remaining: 1m 4s
8:	learn: 1.8142560	test: 1.8173140	best: 1.8173140 (8)	total: 359ms	remaining: 1m 4s
9:	learn: 1.6506807	test: 1.6537680	best: 1.6537680 (9)	total: 401ms	remaining: 1m 4s
10:	learn: 1.5052341	test: 1.5082003	best: 1.5082003 (10)	total: 448ms	remaining: 1m 5s
11:	learn: 1.3753201	test: 1.3782576	best: 1.3782576 (11)	total: 502ms	remaining: 1m 7s
12:	learn: 1.2619640	test: 1.2649865	best: 1.2649865 (12)	total: 546ms	remaining: 1m 7s
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14:	learn: 1.0710250	test: 1.0739127	best: 1.0739127 (14)	total: 627ms	remaining: 1m 7s
15:	learn: 0.9932662	test: 0.9958453	best: 0.9958453 (15)	total: 651ms	remaining: 1m 5s
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1624:	learn: 0.4049413	test: 0.4170450	best: 0.4170426 (1619)	total: 1m 14s	remaining: 0us

bestTest = 0.4170426064
bestIteration = 1619

Shrink model to first 1620 iterations.
[CV]  learning_rate=0.1, l2_leaf_reg=4, iterations=1625, depth=4, total= 1.3min
[CV] learning_rate=0.1, l2_leaf_reg=1, iterations=2000, depth=8 ......
0:	learn: 4.0424622	test: 4.0381866	best: 4.0381866 (0)	total: 143ms	remaining: 4m 45s
1:	learn: 3.6508511	test: 3.6471953	best: 3.6471953 (1)	total: 282ms	remaining: 4m 41s
2:	learn: 3.2957122	test: 3.2930880	best: 3.2930880 (2)	total: 414ms	remaining: 4m 35s
3:	learn: 2.9762286	test: 2.9743532	best: 2.9743532 (3)	total: 551ms	remaining: 4m 35s
4:	learn: 2.6901042	test: 2.6889429	best: 2.6889429 (4)	total: 605ms	remaining: 4m 1s
5:	learn: 2.4338252	test: 2.4332973	best: 2.4332973 (5)	total: 625ms	remaining: 3m 27s
6:	learn: 2.2040898	test: 2.2043112	best: 2.2043112 (6)	total: 762ms	remaining: 3m 36s
7:	learn: 1.9980189	test: 1.9985429	best: 1.9985429 (7)	total: 900ms	remaining: 3m 44s
8:	learn: 1.8135444	test: 1.8144187	best: 1.8144187 (8)	total: 1.05s	remaining: 3m 52s
9:	learn: 1.6481720	test: 1.6495141	best: 1.6495141 (9)	total: 1.21s	remaining: 3m 59s
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11:	learn: 1.3708104	test: 1.3729946	best: 1.3729946 (11)	total: 1.51s	remaining: 4m 10s
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15:	learn: 0.9822890	test: 0.9859531	best: 0.9859531 (15)	total: 2.02s	remaining: 4m 10s
16:	learn: 0.9123404	test: 0.9164945	best: 0.9164945 (16)	total: 2.16s	remaining: 4m 11s
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19:	learn: 0.7507450	test: 0.7560806	best: 0.7560806 (19)	total: 2.49s	remaining: 4m 6s
20:	learn: 0.7093217	test: 0.7148544	best: 0.7148544 (20)	total: 2.63s	remaining: 4m 7s
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22:	learn: 0.6438278	test: 0.6499695	best: 0.6499695 (22)	total: 2.9s	remaining: 4m 9s
23:	learn: 0.6157391	test: 0.6221949	best: 0.6221949 (23)	total: 3.05s	remaining: 4m 11s
24:	learn: 0.5906387	test: 0.5977449	best: 0.5977449 (24)	total: 3.19s	remaining: 4m 12s
25:	learn: 0.5698611	test: 0.5771038	best: 0.5771038 (25)	total: 3.24s	remaining: 4m 6s
26:	learn: 0.5523172	test: 0.5596461	best: 0.5596461 (26)	total: 3.38s	remaining: 4m 6s
27:	learn: 0.5359820	test: 0.5438107	best: 0.5438107 (27)	total: 3.52s	remaining: 4m 8s
28:	learn: 0.5230904	test: 0.5310816	best: 0.5310816 (28)	total: 3.67s	remaining: 4m 9s
29:	learn: 0.5117745	test: 0.5197641	best: 0.5197641 (29)	total: 3.81s	remaining: 4m 10s
30:	learn: 0.5013943	test: 0.5093977	best: 0.5093977 (30)	total: 3.96s	remaining: 4m 11s
31:	learn: 0.4933274	test: 0.5014151	best: 0.5014151 (31)	total: 4.07s	remaining: 4m 10s
32:	learn: 0.4874805	test: 0.4955555	best: 0.4955555 (32)	total: 4.14s	remaining: 4m 6s
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1930:	learn: 0.4113047	test: 0.4257183	best: 0.4257177 (1898)	total: 3m 49s	remaining: 8.19s
1931:	learn: 0.4113047	test: 0.4257183	best: 0.4257177 (1898)	total: 3m 49s	remaining: 8.07s
1932:	learn: 0.4108382	test: 0.4252645	best: 0.4252645 (1932)	total: 3m 49s	remaining: 7.96s
1933:	learn: 0.4108371	test: 0.4252646	best: 0.4252645 (1932)	total: 3m 49s	remaining: 7.84s
1934:	learn: 0.4108371	test: 0.4252646	best: 0.4252645 (1932)	total: 3m 49s	remaining: 7.72s
1935:	learn: 0.4108369	test: 0.4252646	best: 0.4252645 (1932)	total: 3m 50s	remaining: 7.6s
1936:	learn: 0.4108320	test: 0.4252652	best: 0.4252645 (1932)	total: 3m 50s	remaining: 7.49s
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1938:	learn: 0.4108318	test: 0.4252651	best: 0.4252645 (1932)	total: 3m 50s	remaining: 7.25s
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1958:	learn: 0.4108277	test: 0.4252649	best: 0.4252645 (1932)	total: 3m 53s	remaining: 4.88s
1959:	learn: 0.4104301	test: 0.4249435	best: 0.4249435 (1959)	total: 3m 53s	remaining: 4.77s
1960:	learn: 0.4104146	test: 0.4249418	best: 0.4249418 (1960)	total: 3m 53s	remaining: 4.65s
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1962:	learn: 0.4103565	test: 0.4249286	best: 0.4249286 (1962)	total: 3m 54s	remaining: 4.42s
1963:	learn: 0.4103564	test: 0.4249288	best: 0.4249286 (1962)	total: 3m 54s	remaining: 4.3s
1964:	learn: 0.4096996	test: 0.4243547	best: 0.4243547 (1964)	total: 3m 54s	remaining: 4.18s
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1979:	learn: 0.4092301	test: 0.4239089	best: 0.4239088 (1977)	total: 3m 56s	remaining: 2.39s
1980:	learn: 0.4092290	test: 0.4239061	best: 0.4239061 (1980)	total: 3m 56s	remaining: 2.27s
1981:	learn: 0.4092290	test: 0.4239061	best: 0.4239061 (1981)	total: 3m 57s	remaining: 2.15s
1982:	learn: 0.4092290	test: 0.4239064	best: 0.4239061 (1981)	total: 3m 57s	remaining: 2.03s
1983:	learn: 0.4092290	test: 0.4239066	best: 0.4239061 (1981)	total: 3m 57s	remaining: 1.91s
1984:	learn: 0.4092019	test: 0.4239029	best: 0.4239029 (1984)	total: 3m 57s	remaining: 1.79s
1985:	learn: 0.4092018	test: 0.4239030	best: 0.4239029 (1984)	total: 3m 57s	remaining: 1.68s
1986:	learn: 0.4087700	test: 0.4237160	best: 0.4237160 (1986)	total: 3m 57s	remaining: 1.56s
1987:	learn: 0.4087698	test: 0.4237160	best: 0.4237160 (1986)	total: 3m 58s	remaining: 1.44s
1988:	learn: 0.4087697	test: 0.4237160	best: 0.4237160 (1988)	total: 3m 58s	remaining: 1.32s
1989:	learn: 0.4087697	test: 0.4237160	best: 0.4237160 (1988)	total: 3m 58s	remaining: 1.2s
1990:	learn: 0.4087697	test: 0.4237160	best: 0.4237160 (1988)	total: 3m 58s	remaining: 1.08s
1991:	learn: 0.4087692	test: 0.4237160	best: 0.4237160 (1988)	total: 3m 58s	remaining: 959ms
1992:	learn: 0.4087692	test: 0.4237161	best: 0.4237160 (1988)	total: 3m 58s	remaining: 839ms
1993:	learn: 0.4087690	test: 0.4237161	best: 0.4237160 (1988)	total: 3m 58s	remaining: 719ms
1994:	learn: 0.4087689	test: 0.4237161	best: 0.4237160 (1988)	total: 3m 59s	remaining: 599ms
1995:	learn: 0.4087689	test: 0.4237161	best: 0.4237160 (1988)	total: 3m 59s	remaining: 479ms
1996:	learn: 0.4087689	test: 0.4237161	best: 0.4237160 (1988)	total: 3m 59s	remaining: 360ms
1997:	learn: 0.4087688	test: 0.4237162	best: 0.4237160 (1988)	total: 3m 59s	remaining: 240ms
1998:	learn: 0.4087688	test: 0.4237162	best: 0.4237160 (1988)	total: 3m 59s	remaining: 120ms
1999:	learn: 0.4087687	test: 0.4237162	best: 0.4237160 (1988)	total: 3m 59s	remaining: 0us

bestTest = 0.4237159655
bestIteration = 1988

Shrink model to first 1989 iterations.
[CV]  learning_rate=0.1, l2_leaf_reg=1, iterations=2000, depth=8, total= 4.1min
[CV] learning_rate=0.1, l2_leaf_reg=1, iterations=2000, depth=8 ......
0:	learn: 4.0410243	test: 4.0365652	best: 4.0365652 (0)	total: 135ms	remaining: 4m 30s
1:	learn: 3.6465489	test: 3.6431253	best: 3.6431253 (1)	total: 340ms	remaining: 5m 39s
2:	learn: 3.2910785	test: 3.2889797	best: 3.2889797 (2)	total: 505ms	remaining: 5m 36s
3:	learn: 2.9723941	test: 2.9712563	best: 2.9712563 (3)	total: 613ms	remaining: 5m 6s
4:	learn: 2.6863640	test: 2.6859360	best: 2.6859360 (4)	total: 766ms	remaining: 5m 5s
5:	learn: 2.4300290	test: 2.4301701	best: 2.4301701 (5)	total: 926ms	remaining: 5m 7s
6:	learn: 2.1999729	test: 2.2009929	best: 2.2009929 (6)	total: 1.09s	remaining: 5m 9s
7:	learn: 1.9951528	test: 1.9966492	best: 1.9966492 (7)	total: 1.23s	remaining: 5m 5s
8:	learn: 1.8114379	test: 1.8136544	best: 1.8136544 (8)	total: 1.37s	remaining: 5m 3s
9:	learn: 1.6472856	test: 1.6500563	best: 1.6500563 (9)	total: 1.53s	remaining: 5m 3s
10:	learn: 1.5005090	test: 1.5038802	best: 1.5038802 (10)	total: 1.66s	remaining: 4m 59s
11:	learn: 1.3694185	test: 1.3733428	best: 1.3733428 (11)	total: 1.79s	remaining: 4m 56s
12:	learn: 1.2537164	test: 1.2576502	best: 1.2576502 (12)	total: 1.92s	remaining: 4m 53s
13:	learn: 1.1507712	test: 1.1551564	best: 1.1551564 (13)	total: 2.06s	remaining: 4m 52s
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29:	learn: 0.5033582	test: 0.5144420	best: 0.5144420 (29)	total: 4.24s	remaining: 4m 38s
30:	learn: 0.4940355	test: 0.5048403	best: 0.5048403 (30)	total: 4.4s	remaining: 4m 39s
31:	learn: 0.4863282	test: 0.4970650	best: 0.4970650 (31)	total: 4.54s	remaining: 4m 39s
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1996:	learn: 0.3952156	test: 0.4209745	best: 0.4209587 (1922)	total: 4m 5s	remaining: 369ms
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1998:	learn: 0.3952156	test: 0.4209745	best: 0.4209587 (1922)	total: 4m 6s	remaining: 123ms
1999:	learn: 0.3952156	test: 0.4209745	best: 0.4209587 (1922)	total: 4m 6s	remaining: 0us

bestTest = 0.4209587151
bestIteration = 1922

Shrink model to first 1923 iterations.
[CV]  learning_rate=0.1, l2_leaf_reg=1, iterations=2000, depth=8, total= 4.2min
[CV] learning_rate=0.1, l2_leaf_reg=1, iterations=2000, depth=8 ......
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1906:	learn: 0.4014723	test: 0.4181296	best: 0.4181296 (1906)	total: 4m 31s	remaining: 13.3s
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1908:	learn: 0.4014723	test: 0.4181294	best: 0.4181294 (1908)	total: 4m 32s	remaining: 13s
1909:	learn: 0.4014723	test: 0.4181293	best: 0.4181293 (1909)	total: 4m 32s	remaining: 12.8s
1910:	learn: 0.4014723	test: 0.4181292	best: 0.4181292 (1910)	total: 4m 32s	remaining: 12.7s
1911:	learn: 0.4014723	test: 0.4181291	best: 0.4181291 (1911)	total: 4m 32s	remaining: 12.5s
1912:	learn: 0.4014673	test: 0.4181312	best: 0.4181291 (1911)	total: 4m 32s	remaining: 12.4s
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1920:	learn: 0.4014658	test: 0.4181303	best: 0.4181291 (1911)	total: 4m 33s	remaining: 11.2s
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1923:	learn: 0.4014565	test: 0.4181350	best: 0.4181291 (1911)	total: 4m 33s	remaining: 10.8s
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1929:	learn: 0.4014528	test: 0.4181225	best: 0.4181225 (1929)	total: 4m 34s	remaining: 9.96s
1930:	learn: 0.4014528	test: 0.4181220	best: 0.4181220 (1930)	total: 4m 34s	remaining: 9.82s
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1933:	learn: 0.4014527	test: 0.4181212	best: 0.4181212 (1933)	total: 4m 35s	remaining: 9.39s
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1935:	learn: 0.4014527	test: 0.4181207	best: 0.4181207 (1935)	total: 4m 35s	remaining: 9.1s
1936:	learn: 0.4014527	test: 0.4181207	best: 0.4181207 (1936)	total: 4m 35s	remaining: 8.96s
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1955:	learn: 0.4012462	test: 0.4180415	best: 0.4180396 (1954)	total: 4m 37s	remaining: 6.25s
1956:	learn: 0.4012458	test: 0.4180377	best: 0.4180377 (1956)	total: 4m 38s	remaining: 6.11s
1957:	learn: 0.4012458	test: 0.4180375	best: 0.4180375 (1957)	total: 4m 38s	remaining: 5.97s
1958:	learn: 0.4012450	test: 0.4180394	best: 0.4180375 (1957)	total: 4m 38s	remaining: 5.83s
1959:	learn: 0.4012431	test: 0.4180310	best: 0.4180310 (1959)	total: 4m 38s	remaining: 5.68s
1960:	learn: 0.4012431	test: 0.4180310	best: 0.4180310 (1959)	total: 4m 38s	remaining: 5.54s
1961:	learn: 0.4012423	test: 0.4180289	best: 0.4180289 (1961)	total: 4m 38s	remaining: 5.4s
1962:	learn: 0.4012170	test: 0.4179983	best: 0.4179983 (1962)	total: 4m 39s	remaining: 5.26s
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1971:	learn: 0.4007344	test: 0.4178991	best: 0.4178961 (1968)	total: 4m 40s	remaining: 3.98s
1972:	learn: 0.4007337	test: 0.4179005	best: 0.4178961 (1968)	total: 4m 40s	remaining: 3.84s
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1979:	learn: 0.4005309	test: 0.4178796	best: 0.4178678 (1976)	total: 4m 41s	remaining: 2.85s
1980:	learn: 0.4005155	test: 0.4178784	best: 0.4178678 (1976)	total: 4m 41s	remaining: 2.7s
1981:	learn: 0.4002818	test: 0.4174714	best: 0.4174714 (1981)	total: 4m 42s	remaining: 2.56s
1982:	learn: 0.4002787	test: 0.4174695	best: 0.4174695 (1982)	total: 4m 42s	remaining: 2.42s
1983:	learn: 0.4002757	test: 0.4174669	best: 0.4174669 (1983)	total: 4m 42s	remaining: 2.28s
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1985:	learn: 0.4002743	test: 0.4174662	best: 0.4174662 (1985)	total: 4m 42s	remaining: 1.99s
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1987:	learn: 0.4002739	test: 0.4174663	best: 0.4174662 (1986)	total: 4m 42s	remaining: 1.71s
1988:	learn: 0.4002705	test: 0.4174651	best: 0.4174651 (1988)	total: 4m 43s	remaining: 1.56s
1989:	learn: 0.4002697	test: 0.4174629	best: 0.4174629 (1989)	total: 4m 43s	remaining: 1.42s
1990:	learn: 0.4002695	test: 0.4174627	best: 0.4174627 (1990)	total: 4m 43s	remaining: 1.28s
1991:	learn: 0.4002695	test: 0.4174628	best: 0.4174627 (1990)	total: 4m 43s	remaining: 1.14s
1992:	learn: 0.4002695	test: 0.4174628	best: 0.4174627 (1990)	total: 4m 43s	remaining: 996ms
1993:	learn: 0.4002695	test: 0.4174628	best: 0.4174627 (1990)	total: 4m 43s	remaining: 854ms
1994:	learn: 0.4002694	test: 0.4174628	best: 0.4174627 (1990)	total: 4m 43s	remaining: 711ms
1995:	learn: 0.4002694	test: 0.4174628	best: 0.4174627 (1990)	total: 4m 43s	remaining: 569ms
1996:	learn: 0.4002694	test: 0.4174637	best: 0.4174627 (1990)	total: 4m 44s	remaining: 427ms
1997:	learn: 0.4002694	test: 0.4174636	best: 0.4174627 (1990)	total: 4m 44s	remaining: 284ms
1998:	learn: 0.4002608	test: 0.4174596	best: 0.4174596 (1998)	total: 4m 44s	remaining: 142ms
1999:	learn: 0.4002608	test: 0.4174598	best: 0.4174596 (1998)	total: 4m 44s	remaining: 0us

bestTest = 0.4174595627
bestIteration = 1998

Shrink model to first 1999 iterations.
[CV]  learning_rate=0.1, l2_leaf_reg=1, iterations=2000, depth=8, total= 4.8min
[CV] learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=10 ......
0:	learn: 4.0429634	test: 4.0386331	best: 4.0386331 (0)	total: 98.6ms	remaining: 1m 26s
1:	learn: 3.6514911	test: 3.6475654	best: 3.6475654 (1)	total: 539ms	remaining: 3m 55s
2:	learn: 3.2983759	test: 3.2947482	best: 3.2947482 (2)	total: 1.02s	remaining: 4m 55s
3:	learn: 2.9796631	test: 2.9766493	best: 2.9766493 (3)	total: 1.5s	remaining: 5m 26s
4:	learn: 2.6942517	test: 2.6918053	best: 2.6918053 (4)	total: 1.98s	remaining: 5m 45s
5:	learn: 2.4383433	test: 2.4365501	best: 2.4365501 (5)	total: 2.46s	remaining: 5m 55s
6:	learn: 2.2089200	test: 2.2072623	best: 2.2072623 (6)	total: 2.7s	remaining: 5m 35s
7:	learn: 2.0050488	test: 2.0034188	best: 2.0034188 (7)	total: 3.15s	remaining: 5m 41s
8:	learn: 1.8213679	test: 1.8203017	best: 1.8203017 (8)	total: 3.61s	remaining: 5m 47s
9:	learn: 1.6562140	test: 1.6554111	best: 1.6554111 (9)	total: 4.08s	remaining: 5m 52s
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26:	learn: 0.5554139	test: 0.5592177	best: 0.5592177 (26)	total: 8.31s	remaining: 4m 20s
27:	learn: 0.5405875	test: 0.5446767	best: 0.5446767 (27)	total: 8.37s	remaining: 4m 13s
28:	learn: 0.5271311	test: 0.5314314	best: 0.5314314 (28)	total: 8.46s	remaining: 4m 6s
29:	learn: 0.5154430	test: 0.5201249	best: 0.5201249 (29)	total: 8.9s	remaining: 4m 10s
30:	learn: 0.5065247	test: 0.5112905	best: 0.5112905 (30)	total: 8.99s	remaining: 4m 4s
31:	learn: 0.4980283	test: 0.5028863	best: 0.5028863 (31)	total: 9.44s	remaining: 4m 8s
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37:	learn: 0.4683641	test: 0.4740777	best: 0.4740777 (37)	total: 11.2s	remaining: 4m 6s
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40:	learn: 0.4580016	test: 0.4646200	best: 0.4646200 (40)	total: 12.6s	remaining: 4m 16s
41:	learn: 0.4556820	test: 0.4622558	best: 0.4622558 (41)	total: 13.1s	remaining: 4m 19s
42:	learn: 0.4541611	test: 0.4609327	best: 0.4609327 (42)	total: 13.6s	remaining: 4m 23s
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44:	learn: 0.4509269	test: 0.4579658	best: 0.4579658 (44)	total: 14.3s	remaining: 4m 23s
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48:	learn: 0.4461343	test: 0.4534614	best: 0.4534614 (48)	total: 15.4s	remaining: 4m 20s
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53:	learn: 0.4403270	test: 0.4479331	best: 0.4479331 (53)	total: 17.1s	remaining: 4m 20s
54:	learn: 0.4392555	test: 0.4472702	best: 0.4472702 (54)	total: 17.4s	remaining: 4m 18s
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56:	learn: 0.4384505	test: 0.4467357	best: 0.4467357 (56)	total: 17.7s	remaining: 4m 14s
57:	learn: 0.4381836	test: 0.4464714	best: 0.4464714 (57)	total: 17.9s	remaining: 4m 11s
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bestTest = 0.4216287986
bestIteration = 874

[CV]  learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=10, total= 5.2min
[CV] learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=10 ......
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874:	learn: 0.3971931	test: 0.4213892	best: 0.4213849 (858)	total: 5m 47s	remaining: 0us

bestTest = 0.4213849414
bestIteration = 858

Shrink model to first 859 iterations.
[CV]  learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=10, total= 5.8min
[CV] learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=10 ......
0:	learn: 4.0396437	test: 4.0415004	best: 4.0415004 (0)	total: 430ms	remaining: 6m 15s
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bestTest = 0.4182147572
bestIteration = 840

Shrink model to first 841 iterations.
[CV]  learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=10, total= 6.7min
[CV] learning_rate=0.03, l2_leaf_reg=1, iterations=500, depth=4 ......
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499:	learn: 0.4245027	test: 0.4312579	best: 0.4312517 (497)	total: 24.6s	remaining: 0us

bestTest = 0.4312516724
bestIteration = 497

Shrink model to first 498 iterations.
[CV]  learning_rate=0.03, l2_leaf_reg=1, iterations=500, depth=4, total=  25.7s
[CV] learning_rate=0.03, l2_leaf_reg=1, iterations=500, depth=4 ......
0:	learn: 4.3482192	test: 4.3431161	best: 4.3431161 (0)	total: 50.7ms	remaining: 25.3s
1:	learn: 4.2200054	test: 4.2152051	best: 4.2152051 (1)	total: 96.5ms	remaining: 24s
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5:	learn: 3.7459643	test: 3.7421647	best: 3.7421647 (5)	total: 249ms	remaining: 20.5s
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7:	learn: 3.5302873	test: 3.5269798	best: 3.5269798 (7)	total: 318ms	remaining: 19.6s
8:	learn: 3.4273241	test: 3.4242049	best: 3.4242049 (8)	total: 360ms	remaining: 19.6s
9:	learn: 3.3276385	test: 3.3247546	best: 3.3247546 (9)	total: 398ms	remaining: 19.5s
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12:	learn: 3.0463919	test: 3.0441289	best: 3.0441289 (12)	total: 518ms	remaining: 19.4s
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bestTest = 0.4316996074
bestIteration = 499

[CV]  learning_rate=0.03, l2_leaf_reg=1, iterations=500, depth=4, total=  25.3s
[CV] learning_rate=0.03, l2_leaf_reg=1, iterations=500, depth=4 ......
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499:	learn: 0.4311463	test: 0.4327011	best: 0.4326921 (498)	total: 24.7s	remaining: 0us

bestTest = 0.4326921323
bestIteration = 498

Shrink model to first 499 iterations.
[CV]  learning_rate=0.03, l2_leaf_reg=1, iterations=500, depth=4, total=  25.9s
[CV] learning_rate=0.15, l2_leaf_reg=1, iterations=2000, depth=4 .....
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1958:	learn: 0.3893979	test: 0.4129962	best: 0.4129962 (1958)	total: 1m 36s	remaining: 2.01s
1959:	learn: 0.3893974	test: 0.4129944	best: 0.4129944 (1959)	total: 1m 36s	remaining: 1.96s
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1980:	learn: 0.3893403	test: 0.4129825	best: 0.4129784 (1975)	total: 1m 37s	remaining: 932ms
1981:	learn: 0.3893393	test: 0.4129825	best: 0.4129784 (1975)	total: 1m 37s	remaining: 883ms
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1984:	learn: 0.3893386	test: 0.4129843	best: 0.4129784 (1975)	total: 1m 37s	remaining: 735ms
1985:	learn: 0.3893375	test: 0.4129842	best: 0.4129784 (1975)	total: 1m 37s	remaining: 686ms
1986:	learn: 0.3893362	test: 0.4129842	best: 0.4129784 (1975)	total: 1m 37s	remaining: 637ms
1987:	learn: 0.3892970	test: 0.4129874	best: 0.4129784 (1975)	total: 1m 37s	remaining: 588ms
1988:	learn: 0.3892969	test: 0.4129857	best: 0.4129784 (1975)	total: 1m 37s	remaining: 539ms
1989:	learn: 0.3892968	test: 0.4129857	best: 0.4129784 (1975)	total: 1m 37s	remaining: 490ms
1990:	learn: 0.3892968	test: 0.4129857	best: 0.4129784 (1975)	total: 1m 37s	remaining: 441ms
1991:	learn: 0.3892968	test: 0.4129857	best: 0.4129784 (1975)	total: 1m 37s	remaining: 392ms
1992:	learn: 0.3892966	test: 0.4129825	best: 0.4129784 (1975)	total: 1m 37s	remaining: 343ms
1993:	learn: 0.3892960	test: 0.4129818	best: 0.4129784 (1975)	total: 1m 37s	remaining: 294ms
1994:	learn: 0.3892921	test: 0.4129781	best: 0.4129781 (1994)	total: 1m 37s	remaining: 245ms
1995:	learn: 0.3892775	test: 0.4129731	best: 0.4129731 (1995)	total: 1m 37s	remaining: 196ms
1996:	learn: 0.3892703	test: 0.4129641	best: 0.4129641 (1996)	total: 1m 37s	remaining: 147ms
1997:	learn: 0.3892702	test: 0.4129641	best: 0.4129641 (1997)	total: 1m 37s	remaining: 98ms
1998:	learn: 0.3892674	test: 0.4129671	best: 0.4129641 (1997)	total: 1m 37s	remaining: 49ms
1999:	learn: 0.3892674	test: 0.4129671	best: 0.4129641 (1997)	total: 1m 37s	remaining: 0us

bestTest = 0.4129641066
bestIteration = 1997

Shrink model to first 1998 iterations.
[CV]  learning_rate=0.15, l2_leaf_reg=1, iterations=2000, depth=4, total= 1.7min
[CV] learning_rate=0.15, l2_leaf_reg=1, iterations=2000, depth=4 .....
0:	learn: 3.8211430	test: 3.8172640	best: 3.8172640 (0)	total: 42.4ms	remaining: 1m 24s
1:	learn: 3.2614014	test: 3.2588912	best: 3.2588912 (1)	total: 85.1ms	remaining: 1m 24s
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5:	learn: 1.7712376	test: 1.7722201	best: 1.7722201 (5)	total: 270ms	remaining: 1m 29s
6:	learn: 1.5334306	test: 1.5352964	best: 1.5352964 (6)	total: 314ms	remaining: 1m 29s
7:	learn: 1.3353198	test: 1.3376389	best: 1.3376389 (7)	total: 358ms	remaining: 1m 29s
8:	learn: 1.1703914	test: 1.1733443	best: 1.1733443 (8)	total: 414ms	remaining: 1m 31s
9:	learn: 1.0342527	test: 1.0379677	best: 1.0379677 (9)	total: 466ms	remaining: 1m 32s
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11:	learn: 0.8317813	test: 0.8367246	best: 0.8367246 (11)	total: 565ms	remaining: 1m 33s
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28:	learn: 0.4678996	test: 0.4748180	best: 0.4748180 (28)	total: 1.4s	remaining: 1m 35s
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1999:	learn: 0.3845118	test: 0.4129994	best: 0.4129994 (1999)	total: 1m 34s	remaining: 0us

bestTest = 0.4129993925
bestIteration = 1999

[CV]  learning_rate=0.15, l2_leaf_reg=1, iterations=2000, depth=4, total= 1.6min
[CV] learning_rate=0.15, l2_leaf_reg=1, iterations=2000, depth=4 .....
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1908:	learn: 0.3964916	test: 0.4146037	best: 0.4146037 (1908)	total: 1m 29s	remaining: 4.25s
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1910:	learn: 0.3964852	test: 0.4146079	best: 0.4146037 (1908)	total: 1m 29s	remaining: 4.16s
1911:	learn: 0.3964828	test: 0.4146061	best: 0.4146037 (1908)	total: 1m 29s	remaining: 4.11s
1912:	learn: 0.3963891	test: 0.4145887	best: 0.4145887 (1912)	total: 1m 29s	remaining: 4.06s
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1929:	learn: 0.3961499	test: 0.4145375	best: 0.4145375 (1929)	total: 1m 30s	remaining: 3.27s
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1980:	learn: 0.3958278	test: 0.4143305	best: 0.4143305 (1980)	total: 1m 32s	remaining: 887ms
1981:	learn: 0.3958277	test: 0.4143307	best: 0.4143305 (1980)	total: 1m 32s	remaining: 840ms
1982:	learn: 0.3958170	test: 0.4143307	best: 0.4143305 (1980)	total: 1m 32s	remaining: 794ms
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1985:	learn: 0.3958152	test: 0.4143320	best: 0.4143305 (1980)	total: 1m 32s	remaining: 653ms
1986:	learn: 0.3958090	test: 0.4143275	best: 0.4143275 (1986)	total: 1m 32s	remaining: 607ms
1987:	learn: 0.3958077	test: 0.4143275	best: 0.4143275 (1987)	total: 1m 32s	remaining: 560ms
1988:	learn: 0.3958011	test: 0.4143289	best: 0.4143275 (1987)	total: 1m 32s	remaining: 513ms
1989:	learn: 0.3957999	test: 0.4143329	best: 0.4143275 (1987)	total: 1m 32s	remaining: 467ms
1990:	learn: 0.3957992	test: 0.4143326	best: 0.4143275 (1987)	total: 1m 32s	remaining: 420ms
1991:	learn: 0.3957988	test: 0.4143324	best: 0.4143275 (1987)	total: 1m 32s	remaining: 373ms
1992:	learn: 0.3957951	test: 0.4143448	best: 0.4143275 (1987)	total: 1m 33s	remaining: 327ms
1993:	learn: 0.3957927	test: 0.4143413	best: 0.4143275 (1987)	total: 1m 33s	remaining: 280ms
1994:	learn: 0.3957926	test: 0.4143415	best: 0.4143275 (1987)	total: 1m 33s	remaining: 233ms
1995:	learn: 0.3957926	test: 0.4143419	best: 0.4143275 (1987)	total: 1m 33s	remaining: 187ms
1996:	learn: 0.3957924	test: 0.4143424	best: 0.4143275 (1987)	total: 1m 33s	remaining: 140ms
1997:	learn: 0.3957923	test: 0.4143436	best: 0.4143275 (1987)	total: 1m 33s	remaining: 93.3ms
1998:	learn: 0.3957914	test: 0.4143433	best: 0.4143275 (1987)	total: 1m 33s	remaining: 46.7ms
1999:	learn: 0.3957911	test: 0.4143477	best: 0.4143275 (1987)	total: 1m 33s	remaining: 0us

bestTest = 0.4143274974
bestIteration = 1987

Shrink model to first 1988 iterations.
[CV]  learning_rate=0.15, l2_leaf_reg=1, iterations=2000, depth=4, total= 1.6min
[CV] learning_rate=0.03, l2_leaf_reg=4, iterations=875, depth=8 ......
0:	learn: 4.3482153	test: 4.3438289	best: 4.3438289 (0)	total: 86.2ms	remaining: 1m 15s
1:	learn: 4.2210077	test: 4.2167365	best: 4.2167365 (1)	total: 231ms	remaining: 1m 41s
2:	learn: 4.0979405	test: 4.0938187	best: 4.0938187 (2)	total: 386ms	remaining: 1m 52s
3:	learn: 3.9778411	test: 3.9737734	best: 3.9737734 (3)	total: 437ms	remaining: 1m 35s
4:	learn: 3.8624605	test: 3.8583138	best: 3.8583138 (4)	total: 579ms	remaining: 1m 40s
5:	learn: 3.7503002	test: 3.7461028	best: 3.7461028 (5)	total: 728ms	remaining: 1m 45s
6:	learn: 3.6412835	test: 3.6371784	best: 3.6371784 (6)	total: 861ms	remaining: 1m 46s
7:	learn: 3.5350610	test: 3.5310760	best: 3.5310760 (7)	total: 956ms	remaining: 1m 43s
8:	learn: 3.4317471	test: 3.4279374	best: 3.4279374 (8)	total: 1.04s	remaining: 1m 40s
9:	learn: 3.3319583	test: 3.3283532	best: 3.3283532 (9)	total: 1.18s	remaining: 1m 42s
10:	learn: 3.2349529	test: 3.2314662	best: 3.2314662 (10)	total: 1.34s	remaining: 1m 45s
11:	learn: 3.1411754	test: 3.1378654	best: 3.1378654 (11)	total: 1.5s	remaining: 1m 48s
12:	learn: 3.0504455	test: 3.0472243	best: 3.0472243 (12)	total: 1.67s	remaining: 1m 50s
13:	learn: 2.9621888	test: 2.9591330	best: 2.9591330 (13)	total: 1.85s	remaining: 1m 53s
14:	learn: 2.8768653	test: 2.8738927	best: 2.8738927 (14)	total: 2s	remaining: 1m 54s
15:	learn: 2.7939361	test: 2.7911332	best: 2.7911332 (15)	total: 2.04s	remaining: 1m 49s
16:	learn: 2.7138285	test: 2.7112167	best: 2.7112167 (16)	total: 2.18s	remaining: 1m 50s
17:	learn: 2.6368222	test: 2.6342075	best: 2.6342075 (17)	total: 2.23s	remaining: 1m 46s
18:	learn: 2.5615936	test: 2.5590837	best: 2.5590837 (18)	total: 2.38s	remaining: 1m 47s
19:	learn: 2.4886613	test: 2.4862210	best: 2.4862210 (19)	total: 2.54s	remaining: 1m 48s
20:	learn: 2.4181135	test: 2.4157640	best: 2.4157640 (20)	total: 2.69s	remaining: 1m 49s
21:	learn: 2.3495955	test: 2.3473788	best: 2.3473788 (21)	total: 2.84s	remaining: 1m 50s
22:	learn: 2.2834764	test: 2.2813616	best: 2.2813616 (22)	total: 3s	remaining: 1m 51s
23:	learn: 2.2194212	test: 2.2173697	best: 2.2173697 (23)	total: 3.17s	remaining: 1m 52s
24:	learn: 2.1573229	test: 2.1553903	best: 2.1553903 (24)	total: 3.31s	remaining: 1m 52s
25:	learn: 2.0968184	test: 2.0949489	best: 2.0949489 (25)	total: 3.39s	remaining: 1m 50s
26:	learn: 2.0384829	test: 2.0367118	best: 2.0367118 (26)	total: 3.54s	remaining: 1m 51s
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bestTest = 0.4253950268
bestIteration = 869

Shrink model to first 870 iterations.
[CV]  learning_rate=0.03, l2_leaf_reg=4, iterations=875, depth=8, total= 1.8min
[CV] learning_rate=0.03, l2_leaf_reg=4, iterations=875, depth=8 ......
0:	learn: 4.3490140	test: 4.3438771	best: 4.3438771 (0)	total: 149ms	remaining: 2m 10s
1:	learn: 4.2214897	test: 4.2166838	best: 4.2166838 (1)	total: 312ms	remaining: 2m 15s
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4:	learn: 3.8609809	test: 3.8569821	best: 3.8569821 (4)	total: 803ms	remaining: 2m 19s
5:	learn: 3.7483727	test: 3.7446570	best: 3.7446570 (5)	total: 953ms	remaining: 2m 17s
6:	learn: 3.6391858	test: 3.6357635	best: 3.6357635 (6)	total: 1.08s	remaining: 2m 13s
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27:	learn: 1.9811535	test: 1.9817833	best: 1.9817833 (27)	total: 3.59s	remaining: 1m 48s
28:	learn: 1.9263543	test: 1.9270398	best: 1.9270398 (28)	total: 3.73s	remaining: 1m 48s
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bestTest = 0.4262409181
bestIteration = 872

Shrink model to first 873 iterations.
[CV]  learning_rate=0.03, l2_leaf_reg=4, iterations=875, depth=8, total= 1.8min
[CV] learning_rate=0.03, l2_leaf_reg=4, iterations=875, depth=8 ......
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4:	learn: 3.8554067	test: 3.8571941	best: 3.8571941 (4)	total: 750ms	remaining: 2m 10s
5:	learn: 3.7430018	test: 3.7449139	best: 3.7449139 (5)	total: 905ms	remaining: 2m 11s
6:	learn: 3.6340336	test: 3.6360887	best: 3.6360887 (6)	total: 1.09s	remaining: 2m 15s
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bestTest = 0.4236329607
bestIteration = 874

[CV]  learning_rate=0.03, l2_leaf_reg=4, iterations=875, depth=8, total= 2.1min
[CV] learning_rate=0.15, l2_leaf_reg=4, iterations=500, depth=10 .....
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bestTest = 0.4205278003
bestIteration = 492

Shrink model to first 493 iterations.
[CV]  learning_rate=0.15, l2_leaf_reg=4, iterations=500, depth=10, total= 3.0min
[CV] learning_rate=0.15, l2_leaf_reg=4, iterations=500, depth=10 .....
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499:	learn: 0.3983795	test: 0.4223783	best: 0.4223774 (490)	total: 3m 29s	remaining: 0us

bestTest = 0.4223773831
bestIteration = 490

Shrink model to first 491 iterations.
[CV]  learning_rate=0.15, l2_leaf_reg=4, iterations=500, depth=10, total= 3.5min
[CV] learning_rate=0.15, l2_leaf_reg=4, iterations=500, depth=10 .....
0:	learn: 3.8230631	test: 3.8252913	best: 3.8252913 (0)	total: 418ms	remaining: 3m 28s
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499:	learn: 0.4012246	test: 0.4178192	best: 0.4178168 (498)	total: 3m 38s	remaining: 0us

bestTest = 0.4178168146
bestIteration = 498

Shrink model to first 499 iterations.
[CV]  learning_rate=0.15, l2_leaf_reg=4, iterations=500, depth=10, total= 3.7min
[CV] learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=4 .......
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828:	learn: 0.4073674	test: 0.4193866	best: 0.4193866 (828)	total: 39.9s	remaining: 2.21s
829:	learn: 0.4073466	test: 0.4193844	best: 0.4193844 (829)	total: 39.9s	remaining: 2.16s
830:	learn: 0.4073435	test: 0.4193832	best: 0.4193832 (830)	total: 40s	remaining: 2.12s
831:	learn: 0.4073434	test: 0.4193855	best: 0.4193832 (830)	total: 40s	remaining: 2.07s
832:	learn: 0.4073429	test: 0.4193880	best: 0.4193832 (830)	total: 40.1s	remaining: 2.02s
833:	learn: 0.4073423	test: 0.4193880	best: 0.4193832 (830)	total: 40.1s	remaining: 1.97s
834:	learn: 0.4073417	test: 0.4193883	best: 0.4193832 (830)	total: 40.2s	remaining: 1.92s
835:	learn: 0.4073412	test: 0.4193881	best: 0.4193832 (830)	total: 40.2s	remaining: 1.88s
836:	learn: 0.4073410	test: 0.4193881	best: 0.4193832 (830)	total: 40.2s	remaining: 1.83s
837:	learn: 0.4073405	test: 0.4193881	best: 0.4193832 (830)	total: 40.3s	remaining: 1.78s
838:	learn: 0.4073400	test: 0.4193906	best: 0.4193832 (830)	total: 40.3s	remaining: 1.73s
839:	learn: 0.4073394	test: 0.4193930	best: 0.4193832 (830)	total: 40.4s	remaining: 1.68s
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843:	learn: 0.4073207	test: 0.4193798	best: 0.4193798 (843)	total: 40.6s	remaining: 1.49s
844:	learn: 0.4072821	test: 0.4193777	best: 0.4193777 (844)	total: 40.6s	remaining: 1.44s
845:	learn: 0.4072173	test: 0.4193067	best: 0.4193067 (845)	total: 40.7s	remaining: 1.4s
846:	learn: 0.4072144	test: 0.4193078	best: 0.4193067 (845)	total: 40.8s	remaining: 1.35s
847:	learn: 0.4071202	test: 0.4192843	best: 0.4192843 (847)	total: 40.8s	remaining: 1.3s
848:	learn: 0.4071097	test: 0.4192835	best: 0.4192835 (848)	total: 40.9s	remaining: 1.25s
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850:	learn: 0.4071090	test: 0.4192862	best: 0.4192835 (848)	total: 41s	remaining: 1.16s
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852:	learn: 0.4070300	test: 0.4192360	best: 0.4192360 (852)	total: 41.1s	remaining: 1.06s
853:	learn: 0.4070289	test: 0.4192359	best: 0.4192359 (853)	total: 41.2s	remaining: 1.01s
854:	learn: 0.4070285	test: 0.4192358	best: 0.4192358 (854)	total: 41.2s	remaining: 965ms
855:	learn: 0.4069565	test: 0.4191553	best: 0.4191553 (855)	total: 41.4s	remaining: 918ms
856:	learn: 0.4069557	test: 0.4191543	best: 0.4191543 (856)	total: 41.5s	remaining: 871ms
857:	learn: 0.4069523	test: 0.4191568	best: 0.4191543 (856)	total: 41.6s	remaining: 824ms
858:	learn: 0.4069482	test: 0.4191542	best: 0.4191542 (858)	total: 41.6s	remaining: 776ms
859:	learn: 0.4069410	test: 0.4191481	best: 0.4191481 (859)	total: 41.7s	remaining: 727ms
860:	learn: 0.4069002	test: 0.4191245	best: 0.4191245 (860)	total: 41.8s	remaining: 679ms
861:	learn: 0.4068988	test: 0.4191246	best: 0.4191245 (860)	total: 41.8s	remaining: 631ms
862:	learn: 0.4068500	test: 0.4191034	best: 0.4191034 (862)	total: 41.9s	remaining: 583ms
863:	learn: 0.4068499	test: 0.4191032	best: 0.4191032 (863)	total: 42s	remaining: 534ms
864:	learn: 0.4068306	test: 0.4190950	best: 0.4190950 (864)	total: 42s	remaining: 486ms
865:	learn: 0.4068302	test: 0.4190950	best: 0.4190950 (864)	total: 42.1s	remaining: 437ms
866:	learn: 0.4068203	test: 0.4190918	best: 0.4190918 (866)	total: 42.1s	remaining: 389ms
867:	learn: 0.4068200	test: 0.4190918	best: 0.4190918 (866)	total: 42.2s	remaining: 340ms
868:	learn: 0.4068113	test: 0.4190897	best: 0.4190897 (868)	total: 42.2s	remaining: 291ms
869:	learn: 0.4068005	test: 0.4190920	best: 0.4190897 (868)	total: 42.3s	remaining: 243ms
870:	learn: 0.4067928	test: 0.4190923	best: 0.4190897 (868)	total: 42.3s	remaining: 194ms
871:	learn: 0.4067912	test: 0.4190924	best: 0.4190897 (868)	total: 42.4s	remaining: 146ms
872:	learn: 0.4067899	test: 0.4190898	best: 0.4190897 (868)	total: 42.4s	remaining: 97.2ms
873:	learn: 0.4067761	test: 0.4190929	best: 0.4190897 (868)	total: 42.5s	remaining: 48.6ms
874:	learn: 0.4067753	test: 0.4190929	best: 0.4190897 (868)	total: 42.5s	remaining: 0us

bestTest = 0.419089698
bestIteration = 868

Shrink model to first 869 iterations.
[CV]  learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=4, total=  43.9s
[CV] learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=4 .......
0:	learn: 4.0410898	test: 4.0366653	best: 4.0366653 (0)	total: 43.7ms	remaining: 38.2s
1:	learn: 3.6457261	test: 3.6422605	best: 3.6422605 (1)	total: 89.4ms	remaining: 39s
2:	learn: 3.2915041	test: 3.2888168	best: 3.2888168 (2)	total: 137ms	remaining: 39.7s
3:	learn: 2.9732046	test: 2.9712364	best: 2.9712364 (3)	total: 183ms	remaining: 39.9s
4:	learn: 2.6881315	test: 2.6866336	best: 2.6866336 (4)	total: 235ms	remaining: 40.9s
5:	learn: 2.4324532	test: 2.4316135	best: 2.4316135 (5)	total: 287ms	remaining: 41.5s
6:	learn: 2.2040290	test: 2.2038030	best: 2.2038030 (6)	total: 327ms	remaining: 40.6s
7:	learn: 1.9997085	test: 1.9999855	best: 1.9999855 (7)	total: 373ms	remaining: 40.4s
8:	learn: 1.8169358	test: 1.8175504	best: 1.8175504 (8)	total: 421ms	remaining: 40.5s
9:	learn: 1.6527720	test: 1.6536849	best: 1.6536849 (9)	total: 465ms	remaining: 40.3s
10:	learn: 1.5067939	test: 1.5085024	best: 1.5085024 (10)	total: 513ms	remaining: 40.3s
11:	learn: 1.3767542	test: 1.3789234	best: 1.3789234 (11)	total: 560ms	remaining: 40.3s
12:	learn: 1.2618703	test: 1.2644026	best: 1.2644026 (12)	total: 611ms	remaining: 40.5s
13:	learn: 1.1594135	test: 1.1622315	best: 1.1622315 (13)	total: 652ms	remaining: 40.1s
14:	learn: 1.0688872	test: 1.0722674	best: 1.0722674 (14)	total: 701ms	remaining: 40.2s
15:	learn: 0.9896615	test: 0.9936392	best: 0.9936392 (15)	total: 746ms	remaining: 40.1s
16:	learn: 0.9203841	test: 0.9247680	best: 0.9247680 (16)	total: 790ms	remaining: 39.9s
17:	learn: 0.8588189	test: 0.8635636	best: 0.8635636 (17)	total: 839ms	remaining: 40s
18:	learn: 0.8049324	test: 0.8100272	best: 0.8100272 (18)	total: 890ms	remaining: 40.1s
19:	learn: 0.7582940	test: 0.7636827	best: 0.7636827 (19)	total: 932ms	remaining: 39.9s
20:	learn: 0.7177965	test: 0.7233005	best: 0.7233005 (20)	total: 979ms	remaining: 39.8s
21:	learn: 0.6841579	test: 0.6898836	best: 0.6898836 (21)	total: 1.02s	remaining: 39.7s
22:	learn: 0.6548017	test: 0.6608578	best: 0.6608578 (22)	total: 1.07s	remaining: 39.8s
23:	learn: 0.6302229	test: 0.6366480	best: 0.6366480 (23)	total: 1.12s	remaining: 39.7s
24:	learn: 0.6076365	test: 0.6142831	best: 0.6142831 (24)	total: 1.17s	remaining: 39.7s
25:	learn: 0.5891645	test: 0.5959628	best: 0.5959628 (25)	total: 1.21s	remaining: 39.6s
26:	learn: 0.5702086	test: 0.5772205	best: 0.5772205 (26)	total: 1.26s	remaining: 39.6s
27:	learn: 0.5534462	test: 0.5604005	best: 0.5604005 (27)	total: 1.3s	remaining: 39.3s
28:	learn: 0.5392483	test: 0.5462074	best: 0.5462074 (28)	total: 1.34s	remaining: 39.1s
29:	learn: 0.5272882	test: 0.5342135	best: 0.5342135 (29)	total: 1.38s	remaining: 38.9s
30:	learn: 0.5172590	test: 0.5244756	best: 0.5244756 (30)	total: 1.42s	remaining: 38.7s
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835:	learn: 0.3979975	test: 0.4179616	best: 0.4179574 (819)	total: 40.5s	remaining: 1.89s
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854:	learn: 0.3977120	test: 0.4177087	best: 0.4177087 (854)	total: 41.4s	remaining: 969ms
855:	learn: 0.3976973	test: 0.4176967	best: 0.4176967 (855)	total: 41.5s	remaining: 921ms
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860:	learn: 0.3976666	test: 0.4176706	best: 0.4176706 (860)	total: 41.7s	remaining: 678ms
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864:	learn: 0.3975344	test: 0.4175923	best: 0.4175923 (864)	total: 41.9s	remaining: 484ms
865:	learn: 0.3974353	test: 0.4174768	best: 0.4174768 (865)	total: 41.9s	remaining: 436ms
866:	learn: 0.3974351	test: 0.4174764	best: 0.4174764 (866)	total: 42s	remaining: 387ms
867:	learn: 0.3974344	test: 0.4174770	best: 0.4174764 (866)	total: 42s	remaining: 339ms
868:	learn: 0.3973700	test: 0.4174688	best: 0.4174688 (868)	total: 42.1s	remaining: 290ms
869:	learn: 0.3973698	test: 0.4174688	best: 0.4174688 (869)	total: 42.1s	remaining: 242ms
870:	learn: 0.3973616	test: 0.4174691	best: 0.4174688 (869)	total: 42.2s	remaining: 194ms
871:	learn: 0.3973581	test: 0.4174708	best: 0.4174688 (869)	total: 42.3s	remaining: 145ms
872:	learn: 0.3973580	test: 0.4174710	best: 0.4174688 (869)	total: 42.3s	remaining: 96.9ms
873:	learn: 0.3973578	test: 0.4174711	best: 0.4174688 (869)	total: 42.4s	remaining: 48.5ms
874:	learn: 0.3973266	test: 0.4174707	best: 0.4174688 (869)	total: 42.4s	remaining: 0us

bestTest = 0.4174688053
bestIteration = 869

Shrink model to first 870 iterations.
[CV]  learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=4, total=  43.7s
[CV] learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=4 .......
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1:	learn: 3.6406775	test: 3.6424747	best: 3.6424747 (1)	total: 84.7ms	remaining: 37s
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5:	learn: 2.4296965	test: 2.4323315	best: 2.4323315 (5)	total: 249ms	remaining: 36.1s
6:	learn: 2.2017798	test: 2.2046274	best: 2.2046274 (6)	total: 276ms	remaining: 34.3s
7:	learn: 1.9964875	test: 1.9995060	best: 1.9995060 (7)	total: 313ms	remaining: 34s
8:	learn: 1.8142560	test: 1.8173140	best: 1.8173140 (8)	total: 355ms	remaining: 34.2s
9:	learn: 1.6506807	test: 1.6537680	best: 1.6537680 (9)	total: 399ms	remaining: 34.5s
10:	learn: 1.5052341	test: 1.5082003	best: 1.5082003 (10)	total: 447ms	remaining: 35.1s
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874:	learn: 0.4106171	test: 0.4197046	best: 0.4197046 (874)	total: 41.8s	remaining: 0us

bestTest = 0.4197046355
bestIteration = 874

[CV]  learning_rate=0.1, l2_leaf_reg=4, iterations=875, depth=4, total=  43.1s
[CV] learning_rate=0.15, l2_leaf_reg=1, iterations=1250, depth=8 .....
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1186:	learn: 0.4153095	test: 0.4284843	best: 0.4284843 (1186)	total: 2m 12s	remaining: 7.03s
1187:	learn: 0.4153095	test: 0.4284835	best: 0.4284835 (1187)	total: 2m 12s	remaining: 6.93s
1188:	learn: 0.4153094	test: 0.4284836	best: 0.4284835 (1187)	total: 2m 12s	remaining: 6.82s
1189:	learn: 0.4153093	test: 0.4284836	best: 0.4284835 (1187)	total: 2m 13s	remaining: 6.71s
1190:	learn: 0.4153077	test: 0.4284839	best: 0.4284835 (1187)	total: 2m 13s	remaining: 6.6s
1191:	learn: 0.4152973	test: 0.4284839	best: 0.4284835 (1187)	total: 2m 13s	remaining: 6.49s
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1198:	learn: 0.4152697	test: 0.4284865	best: 0.4284835 (1187)	total: 2m 14s	remaining: 5.71s
1199:	learn: 0.4152620	test: 0.4284854	best: 0.4284835 (1187)	total: 2m 14s	remaining: 5.6s
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1235:	learn: 0.4152196	test: 0.4284924	best: 0.4284835 (1187)	total: 2m 19s	remaining: 1.58s
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1249:	learn: 0.4152178	test: 0.4284906	best: 0.4284835 (1187)	total: 2m 21s	remaining: 0us

bestTest = 0.4284835374
bestIteration = 1187

Shrink model to first 1188 iterations.
[CV]  learning_rate=0.15, l2_leaf_reg=1, iterations=1250, depth=8, total= 2.4min
[CV] learning_rate=0.15, l2_leaf_reg=1, iterations=1250, depth=8 .....
0:	learn: 3.8217976	test: 3.8178235	best: 3.8178235 (0)	total: 141ms	remaining: 2m 55s
1:	learn: 3.2636388	test: 3.2612006	best: 3.2612006 (1)	total: 284ms	remaining: 2m 57s
2:	learn: 2.7894931	test: 2.7889427	best: 2.7889427 (2)	total: 430ms	remaining: 2m 58s
3:	learn: 2.3894430	test: 2.3902338	best: 2.3902338 (3)	total: 525ms	remaining: 2m 43s
4:	learn: 2.0516682	test: 2.0533978	best: 2.0533978 (4)	total: 698ms	remaining: 2m 53s
5:	learn: 1.7670661	test: 1.7696682	best: 1.7696682 (5)	total: 855ms	remaining: 2m 57s
6:	learn: 1.5272599	test: 1.5307531	best: 1.5307531 (6)	total: 1s	remaining: 2m 58s
7:	learn: 1.3293439	test: 1.3335118	best: 1.3335118 (7)	total: 1.14s	remaining: 2m 56s
8:	learn: 1.1641816	test: 1.1693080	best: 1.1693080 (8)	total: 1.29s	remaining: 2m 58s
9:	learn: 1.0261691	test: 1.0317947	best: 1.0317947 (9)	total: 1.45s	remaining: 2m 59s
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11:	learn: 0.8206817	test: 0.8277655	best: 0.8277655 (11)	total: 1.73s	remaining: 2m 58s
12:	learn: 0.7445039	test: 0.7528119	best: 0.7528119 (12)	total: 1.9s	remaining: 3m 1s
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28:	learn: 0.4445386	test: 0.4569788	best: 0.4569788 (28)	total: 4.1s	remaining: 2m 52s
29:	learn: 0.4415472	test: 0.4542257	best: 0.4542257 (29)	total: 4.26s	remaining: 2m 53s
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bestTest = 0.4275530329
bestIteration = 928

Shrink model to first 929 iterations.
[CV]  learning_rate=0.15, l2_leaf_reg=1, iterations=1250, depth=8, total= 2.5min
[CV] learning_rate=0.15, l2_leaf_reg=1, iterations=1250, depth=8 .....
0:	learn: 3.8163236	test: 3.8179525	best: 3.8179525 (0)	total: 134ms	remaining: 2m 47s
1:	learn: 3.2591709	test: 3.2613843	best: 3.2613843 (1)	total: 283ms	remaining: 2m 56s
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4:	learn: 2.0498658	test: 2.0535075	best: 2.0535075 (4)	total: 661ms	remaining: 2m 44s
5:	learn: 1.7655617	test: 1.7695590	best: 1.7695590 (5)	total: 800ms	remaining: 2m 45s
6:	learn: 1.5269721	test: 1.5311278	best: 1.5311278 (6)	total: 949ms	remaining: 2m 48s
7:	learn: 1.3295878	test: 1.3339625	best: 1.3339625 (7)	total: 1.1s	remaining: 2m 51s
8:	learn: 1.1651601	test: 1.1698421	best: 1.1698421 (8)	total: 1.26s	remaining: 2m 53s
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1122:	learn: 0.4090693	test: 0.4223896	best: 0.4223809 (1098)	total: 2m 28s	remaining: 16.7s
1123:	learn: 0.4090636	test: 0.4223680	best: 0.4223680 (1123)	total: 2m 28s	remaining: 16.6s
1124:	learn: 0.4090631	test: 0.4223680	best: 0.4223680 (1124)	total: 2m 28s	remaining: 16.5s
1125:	learn: 0.4090631	test: 0.4223685	best: 0.4223680 (1124)	total: 2m 28s	remaining: 16.4s
1126:	learn: 0.4090626	test: 0.4223693	best: 0.4223680 (1124)	total: 2m 28s	remaining: 16.2s
1127:	learn: 0.4090623	test: 0.4223702	best: 0.4223680 (1124)	total: 2m 28s	remaining: 16.1s
1128:	learn: 0.4090623	test: 0.4223703	best: 0.4223680 (1124)	total: 2m 29s	remaining: 16s
1129:	learn: 0.4090612	test: 0.4223649	best: 0.4223649 (1129)	total: 2m 29s	remaining: 15.8s
1130:	learn: 0.4090611	test: 0.4223655	best: 0.4223649 (1129)	total: 2m 29s	remaining: 15.7s
1131:	learn: 0.4086323	test: 0.4221391	best: 0.4221391 (1131)	total: 2m 29s	remaining: 15.6s
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1139:	learn: 0.4085827	test: 0.4221267	best: 0.4221267 (1139)	total: 2m 30s	remaining: 14.5s
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1142:	learn: 0.4085802	test: 0.4221249	best: 0.4221249 (1142)	total: 2m 31s	remaining: 14.1s
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1170:	learn: 0.4077715	test: 0.4216956	best: 0.4216956 (1170)	total: 2m 35s	remaining: 10.5s
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1190:	learn: 0.4076697	test: 0.4217005	best: 0.4216956 (1170)	total: 2m 37s	remaining: 7.81s
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1199:	learn: 0.4076665	test: 0.4217008	best: 0.4216956 (1170)	total: 2m 38s	remaining: 6.62s
1200:	learn: 0.4076664	test: 0.4217007	best: 0.4216956 (1170)	total: 2m 38s	remaining: 6.49s
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bestTest = 0.4216956128
bestIteration = 1170

Shrink model to first 1171 iterations.
[CV]  learning_rate=0.15, l2_leaf_reg=1, iterations=1250, depth=8, total= 2.8min
[Parallel(n_jobs=1)]: Done  30 out of  30 | elapsed: 73.0min finished
0:	learn: 3.8204335	test: 3.8178896	best: 3.8178896 (0)	total: 54ms	remaining: 1m 47s
1:	learn: 3.2670028	test: 3.2645339	best: 3.2645339 (1)	total: 95.9ms	remaining: 1m 35s
2:	learn: 2.7954624	test: 2.7933645	best: 2.7933645 (2)	total: 135ms	remaining: 1m 29s
3:	learn: 2.3977571	test: 2.3961515	best: 2.3961515 (3)	total: 173ms	remaining: 1m 26s
4:	learn: 2.0619914	test: 2.0605553	best: 2.0605553 (4)	total: 216ms	remaining: 1m 26s
5:	learn: 1.7794533	test: 1.7782652	best: 1.7782652 (5)	total: 261ms	remaining: 1m 26s
6:	learn: 1.5408477	test: 1.5400968	best: 1.5400968 (6)	total: 304ms	remaining: 1m 26s
7:	learn: 1.3389470	test: 1.3389525	best: 1.3389525 (7)	total: 346ms	remaining: 1m 26s
8:	learn: 1.1706071	test: 1.1710780	best: 1.1710780 (8)	total: 384ms	remaining: 1m 24s
9:	learn: 1.0328851	test: 1.0339494	best: 1.0339494 (9)	total: 423ms	remaining: 1m 24s
10:	learn: 0.9199584	test: 0.9215618	best: 0.9215618 (10)	total: 467ms	remaining: 1m 24s
11:	learn: 0.8286623	test: 0.8308015	best: 0.8308015 (11)	total: 525ms	remaining: 1m 26s
12:	learn: 0.7549836	test: 0.7574803	best: 0.7574803 (12)	total: 560ms	remaining: 1m 25s
13:	learn: 0.6939216	test: 0.6968482	best: 0.6968482 (13)	total: 602ms	remaining: 1m 25s
14:	learn: 0.6464184	test: 0.6497019	best: 0.6497019 (14)	total: 635ms	remaining: 1m 23s
15:	learn: 0.6091351	test: 0.6127879	best: 0.6127879 (15)	total: 675ms	remaining: 1m 23s
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18:	learn: 0.5428317	test: 0.5472507	best: 0.5472507 (18)	total: 786ms	remaining: 1m 21s
19:	learn: 0.5246433	test: 0.5289853	best: 0.5289853 (19)	total: 834ms	remaining: 1m 22s
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1943:	learn: 0.3601506	test: 0.4059647	best: 0.4058716 (1916)	total: 1m 20s	remaining: 2.32s
1944:	learn: 0.3601484	test: 0.4059616	best: 0.4058716 (1916)	total: 1m 20s	remaining: 2.28s
1945:	learn: 0.3601229	test: 0.4059776	best: 0.4058716 (1916)	total: 1m 20s	remaining: 2.24s
1946:	learn: 0.3601170	test: 0.4059763	best: 0.4058716 (1916)	total: 1m 20s	remaining: 2.2s
1947:	learn: 0.3601140	test: 0.4059761	best: 0.4058716 (1916)	total: 1m 20s	remaining: 2.16s
1948:	learn: 0.3600774	test: 0.4059764	best: 0.4058716 (1916)	total: 1m 20s	remaining: 2.11s
1949:	learn: 0.3600714	test: 0.4059784	best: 0.4058716 (1916)	total: 1m 20s	remaining: 2.07s
1950:	learn: 0.3600637	test: 0.4059762	best: 0.4058716 (1916)	total: 1m 20s	remaining: 2.03s
1951:	learn: 0.3600474	test: 0.4059697	best: 0.4058716 (1916)	total: 1m 20s	remaining: 1.99s
1952:	learn: 0.3600382	test: 0.4059653	best: 0.4058716 (1916)	total: 1m 20s	remaining: 1.95s
1953:	learn: 0.3599954	test: 0.4059238	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.91s
1954:	learn: 0.3599857	test: 0.4059331	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.86s
1955:	learn: 0.3599767	test: 0.4059228	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.82s
1956:	learn: 0.3599743	test: 0.4059254	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.78s
1957:	learn: 0.3599725	test: 0.4059214	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.74s
1958:	learn: 0.3599237	test: 0.4059194	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.7s
1959:	learn: 0.3598852	test: 0.4059007	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.66s
1960:	learn: 0.3598641	test: 0.4059009	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.62s
1961:	learn: 0.3598390	test: 0.4058908	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.58s
1962:	learn: 0.3598302	test: 0.4058956	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.53s
1963:	learn: 0.3598198	test: 0.4059101	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.49s
1964:	learn: 0.3598140	test: 0.4059102	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.45s
1965:	learn: 0.3598099	test: 0.4059082	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.41s
1966:	learn: 0.3597937	test: 0.4059087	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.37s
1967:	learn: 0.3597698	test: 0.4059066	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.33s
1968:	learn: 0.3597605	test: 0.4059145	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.29s
1969:	learn: 0.3597489	test: 0.4059095	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.24s
1970:	learn: 0.3597481	test: 0.4059117	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.2s
1971:	learn: 0.3597312	test: 0.4058954	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.16s
1972:	learn: 0.3597263	test: 0.4058953	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.12s
1973:	learn: 0.3597136	test: 0.4058884	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.08s
1974:	learn: 0.3596924	test: 0.4058934	best: 0.4058716 (1916)	total: 1m 21s	remaining: 1.04s
1975:	learn: 0.3596815	test: 0.4058934	best: 0.4058716 (1916)	total: 1m 21s	remaining: 995ms
1976:	learn: 0.3596775	test: 0.4058986	best: 0.4058716 (1916)	total: 1m 21s	remaining: 954ms
1977:	learn: 0.3596658	test: 0.4058911	best: 0.4058716 (1916)	total: 1m 22s	remaining: 912ms
1978:	learn: 0.3596497	test: 0.4058843	best: 0.4058716 (1916)	total: 1m 22s	remaining: 871ms
1979:	learn: 0.3596372	test: 0.4059024	best: 0.4058716 (1916)	total: 1m 22s	remaining: 830ms
1980:	learn: 0.3596203	test: 0.4058982	best: 0.4058716 (1916)	total: 1m 22s	remaining: 788ms
1981:	learn: 0.3596088	test: 0.4058894	best: 0.4058716 (1916)	total: 1m 22s	remaining: 747ms
1982:	learn: 0.3595912	test: 0.4058886	best: 0.4058716 (1916)	total: 1m 22s	remaining: 705ms
1983:	learn: 0.3595843	test: 0.4058875	best: 0.4058716 (1916)	total: 1m 22s	remaining: 664ms
1984:	learn: 0.3595785	test: 0.4058863	best: 0.4058716 (1916)	total: 1m 22s	remaining: 622ms
1985:	learn: 0.3595650	test: 0.4058893	best: 0.4058716 (1916)	total: 1m 22s	remaining: 581ms
1986:	learn: 0.3595580	test: 0.4058989	best: 0.4058716 (1916)	total: 1m 22s	remaining: 539ms
1987:	learn: 0.3595522	test: 0.4059018	best: 0.4058716 (1916)	total: 1m 22s	remaining: 498ms
1988:	learn: 0.3595469	test: 0.4059021	best: 0.4058716 (1916)	total: 1m 22s	remaining: 456ms
1989:	learn: 0.3595288	test: 0.4058946	best: 0.4058716 (1916)	total: 1m 22s	remaining: 415ms
1990:	learn: 0.3595143	test: 0.4058888	best: 0.4058716 (1916)	total: 1m 22s	remaining: 373ms
1991:	learn: 0.3595018	test: 0.4058922	best: 0.4058716 (1916)	total: 1m 22s	remaining: 332ms
1992:	learn: 0.3594714	test: 0.4058811	best: 0.4058716 (1916)	total: 1m 22s	remaining: 290ms
1993:	learn: 0.3594550	test: 0.4058673	best: 0.4058673 (1993)	total: 1m 22s	remaining: 249ms
1994:	learn: 0.3594459	test: 0.4058626	best: 0.4058626 (1994)	total: 1m 22s	remaining: 207ms
1995:	learn: 0.3593933	test: 0.4058280	best: 0.4058280 (1995)	total: 1m 22s	remaining: 166ms
1996:	learn: 0.3593844	test: 0.4058132	best: 0.4058132 (1996)	total: 1m 22s	remaining: 124ms
1997:	learn: 0.3593709	test: 0.4058163	best: 0.4058132 (1996)	total: 1m 22s	remaining: 83ms
1998:	learn: 0.3593612	test: 0.4058071	best: 0.4058071 (1998)	total: 1m 22s	remaining: 41.5ms
1999:	learn: 0.3593490	test: 0.4058131	best: 0.4058071 (1998)	total: 1m 22s	remaining: 0us

bestTest = 0.4058071297
bestIteration = 1998

Shrink model to first 1999 iterations.
Out[101]:
RandomizedSearchCV(cv=3, error_score='raise-deprecating',
          estimator=<catboost.core.CatBoostRegressor object at 0x0000023834482BE0>,
          fit_params=None, iid='warn', n_iter=10, n_jobs=None,
          param_distributions={'iterations': [500, 875, 1250, 1625, 2000], 'learning_rate': [0.03, 0.1, 0.15], 'depth': [4, 8, 10], 'l2_leaf_reg': [1, 4]},
          pre_dispatch='2*n_jobs', random_state=42, refit=True,
          return_train_score=True, scoring='neg_mean_squared_error',
          verbose=2)
In [104]:
cb_grid.best_params_
Out[104]:
{'learning_rate': 0.15, 'l2_leaf_reg': 1, 'iterations': 2000, 'depth': 4}
In [102]:
best_cb = cb_grid.best_estimator_
best_cat_rmse, best_cat_r2 = evaluate(best_cb, X_test_cat, y_test_cat)
MSE test: 0.4058071258059095
R2 score test: 0.7398540205390549
In [119]:
def feature_importance_plot(X_train, model, filename):
    """Plot the feature importance and print the top 20 feature importance returned
       by the model.
       
       Arguments
       =========
           X_train: The feature matrix
           model: regression models
           filename: str, name to save the resulting plot
        
    """
    feature_list = X_train.columns
    feature_importance_df = pd.DataFrame(model.feature_importances_,
                                        columns=['Importances'],
                                        index=feature_list)
    feature_importance_df.sort_values(by='Importances', ascending=False, inplace=True)
    print(feature_importance_df.head(20))
    
    # Reset style 
    plt.style.use('fivethirtyeight')

    fig, ax = plt.subplots(figsize=(10, 5))

    feature_importance_df.head(20).plot(kind='barh', ax=ax,
                                   color = 'r', edgecolor = 'k')

    ax.set_title('Feature Importances')
    ax.set_ylabel('Features')
    ax.set_xlabel('Importance')
    
    plt.savefig('images/'+filename, dpi=800);

Feature importance

The features that contribute most to the variance in prices are:

  • accommodates
  • room type
  • Number of bedrooms
  • cleaning fee
  • the borough the listing in
  • The number of listings the host has
  • The number of nights are avaliable to be booked in the next 90 days * bathrooms
  • listing id
  • fee for extra person

The top 2 features the number of people the property accomodates and room type contribute almost 43% to the price. This make snese because more people a property can live in, the higher the price is. It is the first thing we look at when we make a booking. Obviously if the room type is a private room, the price tends to be lower than the entire home/apartment.

Cleaning fee and the borough the listing in are also important features that influence the price. Interestingly the number of listings the host has is in the top 10 features. Maybe because these hosts are professional property management that is more realiable than individuals. Hence, the price is more expensive.

In [296]:
df_listings.room_type.value_counts()
Out[296]:
Entire home/apt    45046
Private room       34934
Shared room          738
Name: room_type, dtype: int64
In [120]:
feature_importance_plot(X_train, best_random, 'rf_importance')
                                               Importances
room_type_Entire home/apt                         0.141005
room_type_Private room                            0.121771
accommodates                                      0.110878
bedrooms                                          0.082048
cleaning_fee                                      0.077461
bathrooms                                         0.050176
security_deposit                                  0.040925
host_listings_count                               0.034540
guests_included                                   0.028512
availability_90                                   0.025626
id                                                0.021374
neighbourhood_cleansed_Westminster                0.020392
number_of_reviews                                 0.014830
neighbourhood_cleansed_Kensington and Chelsea     0.014421
extra_people                                      0.013654
minimum_nights                                    0.012896
maximum_nights                                    0.011703
property_type_House                               0.008893
property_type_Apartment                           0.007270
cancellation_policy_flexible                      0.006441
In [121]:
feature_importance_plot(X_train_cat, best_cb, 'cat_importance')
                        Importances
accommodates              26.135498
room_type                 16.764929
bedrooms                   7.875720
cleaning_fee               7.423024
neighbourhood_cleansed     6.501021
host_listings_count        5.421999
availability_90            4.618149
bathrooms                  3.467305
id                         3.145055
extra_people               2.936594
security_deposit           2.827568
number_of_reviews          2.666489
property_type              1.688960
minimum_nights             1.609611
maximum_nights             1.204679
guests_included            0.986183
host_response_rate         0.875026
cancellation_policy        0.764867
review_scores_rating       0.601925
step-free access           0.297687

Conclusions

  • The demand for Airbnb increased exponentially over the years.
  • Demand increases along the year until August and slowly decrease.
  • The cheapest month to book Airbnb is May.
  • Richmond upon Thames borough has the highest average review score ratings.
  • Our best model to predict the price is using Catboost which has a r2 score of 73.9%. This means that the model explain 73.9% of the variability in listing price. The result was not good enough. However, price is very different to predict correcly, and the remaining 26.1% may be explained by features that are not in the data.
In [ ]: